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Maybe:

The Great Eastern - Hate (The Delgados)
The Closer you Get - The Way I feel today (Sixbyseven)
Madonna - Source tags & codes (Trails of Dead)

Let it be - Tim - Pleased to meet me (The Replacements)

but in neither of those would I personally include the two you've suggested.

Being a gaybo fanboy, I'd say the Ramones made 5 consecutive classic albums from their debut onwards, but in the interests of objectivity I'll prune it back to the first 3 - Ramones * Leave Home * Rocket To Russia *

I'd say...

Surfer Rosa - Dolittle - Bossa Nova - Trompe le Monde (Pixies)

Bringing It All Back Home-Highway 61 Revisited-Blonde on Blonde (Bob Dylan)
Secret Name-Things We Lost in the Fire (Low)
Seven Swans-Illinois (Sufjan Stevens)
Alligator-Boxer (The National)
Blue-Pinkerton (Weezer)
Rings Around the World-Phantom Power (Super Furry Animals)
The Bends-Ok Computer-Kid A-Amnesiac-Hail to the Thief-In Rainbows (Radiohead)
The Moon and Antarctica-Good News for People Who Love Bad News-We Were Dead Before the Ship Even Sank (Modest Mouse)
I Can Hear the Heart Beating As One-And Then Nothing Turned Itself Inside-Out (Yo La Tengo)
Every Decemberists album to date (The Decemberists)

I-II-III-IV (Zeppelin)
Are you Experienced?-Axis:Bold As love-Electric Ladyland (JHE)
Badmotorfinger-Superunknown (Soundgarden)
Repeater-Steady Diet of Nothing (Fugazi)
Peoples...-Low End Theory-Midnight Marauders (ATCQ)

Feels - Strawberry Jam - Merriweather Post Pavillion (Animal Collective)
TOTBL - Antics (Interpol)
Whatever People Say... - Favourite Worst Nightmare (Arctic Monkeys)
Limbo, Panto - Two Dancers (Wild Beasts)
Funeral - Neon Bible (Arcade Fire)
every Beatles album really but Rubber Soul - Revolver - Sgt Peppers - Magical Mystery Tour - White Album especially.

though you could take it back one and forward one too really.

hope is important - 100 broken windows (idlewild)
effloresce - everyone into position - frames (oceansize)
we have the facts and we're voting yes - the photo album (death cab for cutie)
rebuild the pier - on the enjoyment of unpleasant places (stapleton)

i can't be bothered writing them all out but belle and sebastian, teenage fanclub, sonic youth, twilight sad, mew, los campesinos, the weakerthans have all totally nailed it at least twice in a row. (i should point out i'm only trying to write down bands that havent already been mentioned)

Seafood - When do you start fighting - As the Cry Flows

Crimea - Tragedy Rocks - Secrets of the Witching Hour - Listen to the Seashells (slight cheating as it's not released yet and only heard half 0 but it's good)

Jetplane Landing - Zero for Conduct - Once Like a Spark - Backlash Cop

Bight Eyes - Fevers and Mirrors - Lifted... - Wide Awake... and Digital Ash...

Agree with the Modest Mouse ones too

Juturna - On letting Go (Circa Survive)
Automatic Midnight - Suicide Invoice - Audit in Progress (Hot Snakes)
Petitioning the Empty Sky - When Forever Comes Crashing - Jane Doe - You Fail Me - No Heroes (Converge)
The Bronx - The Bronx [II] (The Bronx)
Oceanic - Panopticon (Isis)
Mellon Collie and the Infinite Sadness - Adore (Smashing Pumpkins)

>>> Worship and Tribute..

clearly

and The Devil and God Are Raging Inside Me - Brand New.

Lifeforms and ISDN

Sleater-Kinney
Pretty much all of their albums from Call The Doctor onwards.
I guess to combine just two would be hard.

Manics
The Holy Bible --> Everything Must Go

Pretty Girls Make Graves
Good Health --> The New Romance

The Veils
The Runaway Found --> Nux Vomica

David Bowie
Hunky Dory --> Rise and Fall of Ziggy Stardust...

tigermilk ; ...sinister (belle and sebastian)

think everyone of these is a stone cold classic.

Fuzzy Logic (1996)
Radiator (1997)
Guerrilla (1999)
Mwng (2000)
Rings Around the World (2001)

Amber - Tri Repetae - Chiastic Slide - LP5 - Confield

would be up there i recks

Just look at the Beatles (from Rubber Soul to Let It Be, that's 8 albums where they didn't really do anything less than 'good', and was mostly exceptional); or Dylan, who had an equally long run of albums from The Freewheelin' Bob Dylan through to Nashville Skyline (OK, maybe only 7 if you stop at John Wesley Harding, but the point stands).

Nowadays it's considered unusual for a band to manage even 3 albums of consistently great quality. I cannot figure why that should be. It's not like people in general are getting less talented, after all.

Bleach - Nevermind - In Utero

Queens of the Stone Age - Songs for the Deaf
Soft Bulletin - Yoshimi
Facelift - Dirt
Pauls Boutique- Ill Communication
Blue Lines - Mezzanine

Pretty Hate Machine -> Wish (mini-album) -> The Downward Spiral

Sorry. Don't love The Fragile.

Oceanic - Panopticon

Acrobatic Tenement/In-Casino-Out/Relationship of Command..

Beck - mellow gold, odelay, mutations, midnight vultures
Velvet underground - 1, white light white heat, velvet underground
Pulp - Different class, This is hardcore, We love life
Faith no more - the real thing, angel dust, king for a day...
Tom Waits - Swordfishtrombones, Raindogs, Franks wild years, Bone machine
Roxy music - the first four records
Jesus and mary chain - Psychocandy, Darklands, Barbed wired kisses
Spoon - Girls can tell, Kill the moonlight, Gimme fiction, gagagaga
Pj harvey - tobring you my love, is this desire, stories from..

His'n'Hers-Different Class-This Is Hardcore

Deloused in the Comatorium - Frances the Mute - Amuptechture - The Bedlam in Goliath - Octahedron (The Mars Volta)

The Fall of Math - onetimeforalltime (65daysofstatic)

Open Heart Zoo - Unholy (Martin Grech)

Homogenic - Vespertine - Medulla (Bjork)

Rooty - Kish Kash (Basement Jaxx)

AEnima - Lateralus (Tool)

Elephant Eyelash - Alopecia (WHY?)

Everything You Ever Wanted to Know About Silence - Worship & Tribute (Glassjaw)

Tripper - Parades (Efterklang)

OK Computer - Kid A - Amnesiac - Hail to the Thief (Radiohead)

El Diablo - WHVN - Carpe Diem (Will Haven)

Parklife - The Great Escape (Blur)

Sleep & Release - My Heart Has A Wish That You Would Not Go (Aereogramme)

1, 2 and 3

The best minimal LP's I own.

panic prevention - kings and queens
Pauls Boutique - Check Your Head - Ill Communication

And obvious ones that have already been mentioned like The Smiths, Glassjaw, Brand New, Bright Eyes...

Black Sabbath - Paranoid - Master of Reality - Vol.4 - Sabbath Bloody Sabbath

separation sunday - boys and girls in america
summerteeth - yankee hotel foxtrot - a ghost is born
deja entendu - the devil & god are raging inside me
alligator - boxer
blue - pinkerton
elephant eyelash - alopecia
painful - electropura - i can hear the heart beating as one - and then nothing turned itself inside out
the power of failing - endserenading
clarity - bleed american
black sheep boy - down the river of golden dreams

Here Comes The Indian-Sung Tongs-Feels-Strawberry Jam-MPP.

Sunset Rubdown
Shut Up I Am Dreaming-Random Spirit Lover-Dragonslayer

Scott Walker
Scott, 2, 3, 4

Can't Buy A Thrill > Countdown To Ecstacy > Pretzel Logic > Katy Lied > The Royal Scam > Aja > Gaucho / Steely Dan

'77 > More Songs About Buildings and Food > Fear Of Music > Remain In Light / Talking Heads

The Colour Of Spring > Spirit Of Eden > Laughing Stock / Talk Talk

A Walk Across The Rooftops > Hats / The Blue Nile

LCD Soundsystem > Sound of Silver / LCD Soundsystem

(feel the sighs of predictability)
OK Computer > Kid A / Radiohead

For Respect - Don Caballero 2 - What Burns Never Returns - American Don (Don Caballero)
Tweez - Spiderland (Slint)
Apple O - Milkman - Runners Four (Deerhoof)
White 1 - White 2 - Black One - Monoliths & Dimensions (Sunn O))))
Earth 2: Special Low Frequency Version - Phase 3: Thrones and Dominions - Pentastar: In The Style Of Demons - Hex; Or Printing In The Infernal Method - The Bees Made Honey In The Lion's Skull (Earth)
At Action Park - Terraform - 1000 Hurts (Shellac)
Head - Goat - Liar - Down (The Jesus Lizard)
Gluey Porch Treatments - Ozma - Bullhead - LYSOL/Melvins - Houdini (Melvins)
Standards - Its All Around You - Beacons Of Ancestorship (Tortoise)
Wonderful Rainbow -Hypermagic Mountain - Earthly Delights (Lightning Bolt)

Out of Time -> Automatic For The People
It's A Shame About Ray -> Come On Feel The Lemonheads

Nevermind - In Utero
Burial- Untrue
Girls Can Tell - Kill the Moonlight - Gimme Fiction - Ga Ga Ga Ga Ga
Music Has The Right to Children- Geogaddi

someone must already have said this, right?

Pearl Jam - Vs / Vitalogy / No code / Yield

being there - summersteeth - yankee hotel foxtrot - a ghost is born

reign in blood > south of heaven

Captain - Hope Is Important - 100 Broken Windows. Enough said.

Suede-Suede, Dog Man Star, Coming Up
Ben Folds Five-Ben Folds Five, Whatever and Ever Amen
Lemonheads-Its A Shame About Ray, Come On Feel The Lemonheads
Auteurs-New Wave, Now I'm A Cowboy
Metallica-Master of Puppets, And Justice For All, Black Album

My Aim Is True - This Year's Model

Song To Ruin >> Harmony No Harmony

would be bang up there with the best of them

Fleetwood Mac - Rumours - Tusk

Defo 4-Track Demos -> To Bring You My Love, if I had to trim it to the best consecutive two.

+ ACME -> Plastic Fang -> Damage (?)

All ossum

with Give Out... being a weak link, but just scraping in.

Ignoring Holmes' mixes, and sundries, etc. (surprised you didn't put this in the OP, vammo)

obv.

Yup, Jesus Jones get another mention from me

+ Surrender, too, I reckon. That's my lot for the Chems, though. You can slip Live at the Social Volume 1 in if you want.

Lionrock = underrated.

Wiki: "The Jimi Hendrix Experience are the only band with all their albums on Rolling Stone's 500 Greatest Albums of All Time All of which Were Ranked In The Top 100. All the original members of the group are now deceased, the only notable rock group in all of history who, as of 2009, are of this status."

Add Pre-emptive Strike if you wanna.

Now TheWza, I love your taste as a general rule. But there is now way I'm allowing you 'Give out...' in there. If you'd gone the other way and said 'Evil heat' I'd have almost let you off, but not entirely.

And my oversight of Holmes was admittedly very wrong, and for that I'm sorry. So then, Orbital's 'The Altogether' - I should give it a go? Gray's inclusion always put me off...

Yup, you read it right, I did stop there. ;-P

+ the ones either side (?)

Every Time I Die - Hot Damn, Gutter Phenomenon, The Big Dirty, New Junk Aesthetic

Helmet - Strap It On, Meantime, Betty

Bruce Springsteen - Born To Run, Darkness On The Edge Of Town, The River, Nebraska

wild beasts, FOTL, arcade fire.

The Who: Tommy -> Live at Leeds -> Who's Next -> Quadrophenia
All of Cat Power, apart from the newest EP

I wouldn't say Yo! Let's Bum Rush the Show is 'great', just okay. But, I'd say: It takes a nation of millions and then Fear of a Black Nation

Can: Tago Mago - Future Days
Faust: Faust - Faust IV
Brian Eno: Here Come The Warm Jets - Music For Airports
Captain Beefheart: Safe As Milk - Mirror Man
Tom Waits: Swordfishtrombones - Frank's Wild Years
Godspeed You Black Emperor: Everything they've done
Jimi Hendrix: Are You Experienced - Band Of Gypsys
Neu!: Neu! - Neu! 75
Autechre: Incunabula - Confield
Nick Cave: From Her To Eternity - The Good Son
Ricardo Villalobos: Alchachofa - Vasco
The Stooges: The Stooges - Raw Power
Talk Talk: Colour Of Spring - Laughing Stock

…Wish I was in to Fear of Music more so I could have the first 5 Talking Heads in a row.

Fire - Señor Smoke - Switzerland - I Shall Exterminate Everything That Prevents Me From Being The Master - Flashy - KILL (Electric Six)

I would offer Station to Station, Low and "Heroes" for David Bowie. But, there are a couple of completely overlooked albums from the Nineties that almost stand alongside that stuff that might make a more interesting suggestion, The Buddha of Suburbia and 1. Outside.

flamingo, teenage head, shake some action - flamin' groovies
VU & Nico, white llight/white heat, VU, Loaded - the VU
stooges, fun house, raw power - stooges
kick out the jams, back in the usa, high time - mc5
bringing it all back home, highway 61, blonde on blonde - dylan
first 3 ramones
first 5 or 6 stones
first 3 hendrix
rubber soul, revolver
pick a series of GbV
here come the warm jets, taking tiger mt - neo
pick a series of 70-78 bowie
first 5 roxy
woofer, kimono, propaganda - sparks
GEEZ HONESTLY not many from TODAY, are there?

Slanted and Enchanted-Crooked Rain, Crooked Rain-Wowee Zowee-Brighten the Corners- Terror Twilight. They are probably the most consistent band I can think of. But Bowie, the Beatles, Dylan have tons.
Olivia Tremor Control: Dusk at Cubist Castle-Black Foliage
Animal Collective: Feels-Strawberry Jam-Merriweather
Deerhunter: Cryptograms-Microcastle
Sunset Rubdown: Shutup I Am Dreaming-Random Spirit Lovers-Dragonslayer
Both NMH records.
There is tons.

Spoon-Girls Can Tell-Kill The Moonlight

Although I'd argue that every Spoon album is amazing

77, More Songs About Buildings And Food, Fear Of Music, Remain In Light, Speaking In Tongues

Nico - Chelsea Girl, Marble Index, Desertshore, The End

Every Brian Eno solo album up until Apollo & Atmospheres is amazing so that's about 9 great consecutive records.

Daisies of the Galaxy - Souljacker

Both amazing albums

I disagree there have been many great consecutive albums from the Beatles, Rolling Stones, The Who, The Kinks, Pink Floyd, AC/DC, Metallica, Deep Purple, Jimi Hendrix, Prince, Big Star, Radiohead, Pixies, oh my god the list is endless but I will stop now.