Alright, I'll start with Stevie Wonder:

Talking Book (1972)
Innervisions (1973)
Fulfillingness' First Finale (1974)
Songs in the Key of Life (1976)

Any other examples?

The Freewheelin' Bob Dylan
The Times They Are a-Changin'
Another Side of Bob Dylan
Bringing It All Back Home
Highway 61 Revisited
Blonde on Blonde
John Wesley Harding
Nashville Skyline

Pixies:

Surfer Rosa
Doolittle
Bossanova
Trompe Le Monde

IMO, of course.

not counting live albums or Greatest Hits collections

Bowie:
Diamond Dogs
Young Americans
Station To Station
Low
Heroes (I'd argue Lodger too but it seems to be so unknown outside of Bowie fans)

Prince:
Dirty Mind
Controversy
1999
Purple Rain

Queen:
Queen II
Sheer Heart Attack
A Night At The Opera
A Day At The Races

Elton John:
Tumbleweed Connection
Madman Across The Water
Honky Chateau
Don't Shoot Me
Goodbye Yellow Brick Road

Springsteen:
Born To Run
Darkness On The Edge Of Town
The River
Nebraska
Born In The USA
Tunnel Of Love

Metallica - Ride The Lightning/Master Of Puppets/Justice/Black Album

Rolling Stones - Beggars Banquet/Sticky Fingers/Let It Bleed/Exile On Main Street

Pink Floyd - Dark Side Of The Moon/Wish You Were Here/Animals/The Wall

Bruce Springsteen - Greetings From Asbury Park/The Wild, The Innocent, etc./Born To Run/Darkness on The Edge Of Town

Could have been extended to Captain Fantastic and the Brown Dirt Cowboy if Caribou wasn't in between.

The Kinks

Face to Face
Something Else by The Kinks
The Kinks Are the Village Green Preservation Society
Arthur (Or the Decline and Fall of the British Empire)
Lola versus Powerman and the Moneygoround, Part One
Muswell Hillbillies

Elliott Smith:

Elliott smith (debatable)
Either/Or
XO
Figure 8
From a BAsement on the Hill


Aimee Mann
Bachelor No. 2 (or the last remains of the dodo)
Lost in Space
The Forgotten Arm
F@#$!* Smilers


Smashing Pumpkins:
Siamese Dream
Melon Collie....
The Aeroplane flies High (I count this as an album anyways)
Adore


Sigur Ros:
Ágætis Byrjun
()
Takk...
Med Sud I Eyrum Vid Spilum Endalaust

Aphex Twin (I am a Aphex Twin fan)

LPs/full length only:
Selected Ambient Works I
Selected Ambient Works II
I Care Because You Do
Richard D. James The Album

The Beatles

so true, I actually should consider the s/t before Tumbleweed, but I honestly am not as familiar with that album but from what I've heard is GREAT


some others:
Rolling Stones: Beggar's Banquet/Let It Bleed/Sticky Fingers/Exile On Main Street (Goat's Head Soup killed the streak)

Depeche Mode: Some Great Reward/Black Celebration/Music For The Masses/Violator (Songs Of Faith And Devotion killed the streak)

The Police: Outlandos/Regatta/Zenyatta/Ghost In The Machine/Synchronicity (streak ended with the breakup... a perfect streak IMO)

REM: Document/Green/Out Of Time/Automatic For The People (streak ended with Monster, which was good but not great)

ABBA: Arrival/The Album/Voulez-Vous/Super Trouper/The Visitors (streak ended with their breakup... each album was better than the previous one and then they released their best album and split)

Van Halen: Van Halen/II/Women And Children First/Fair Warning (streak would've continued with 1984 had Diver Down followed in between)

a current streak IMO:
Coldplay: Parachutes/A Rush Of Blood To The Head/X&Y/Viva La Vida

Rush
Hemispheres
Permanent Waves
Moving Pictures
Signals

Iron Maiden
Number Of The Beast
Piece Of Mind
Powerslave
Somewhere In Time

Led Zeppelin: I - Physical Graffiti
Cream: Fresh Cream - Goodbye
Lynyrd Skynyrd: Pronounced - Street Survivors

It should be

Metallica - Kill'Em All/Ride The Lightning/Master Of Puppets/Justice

Does Rattle And Hum count as it's half-live and soundtrack?

If not, you can count War/Unforgettable Fire/Joshua Tree/Achtung Baby

Black Sabbath
Black Sabbath (1970)
Paranoid (1970)
Master of Reality (1971)
Black Sabbath Vol. 4 (1972)

If you're referring to Friends Sountrack, it's not great. It has like two decent songs and a lot of early 70's schlock. His first real album (Elton John) is pretty good though.

As for REM, my preference is

Murmur
Reckoning
Fables of the Reconstruction
Lifes Rich Pageant
Document


Green ended that streak because it was about half a great album

Rod Stewart- Rod Stewart Album-Never A Dull Moment
ACDC- High Voltage-Back in Black
Def Lepard-On Through The Night-Hysteria
KISS-KISS-Destroyer
Creedence- First Album-Pendulum
Pink Floyd Dark Side-The Wall
Aerosmith Aerosmith-Rocks
Jethro TullThis Was-Aqualung
Allman Bros. First Album-Brothers And Sisters
Bad CompanyBad Co. - Desolation Angels
Scorpions Lovedrive - Love At First Sting

Santana:
s/t
Abraxas
III
Caravanserai (highly underrated)

Flaming Lips:
Transmissions from the Satellite Heart
Clouds Taste Metallic
Zaireeka
Soft Bulletin
Yoshimi Battles the Pink Robots

Talking Heads:
77
More Songs About Buildings and Food
Fear of Music
Remain in Light
Speaking in Tongues

The Orb:
Adventures Beyond the Ultra World
U.f. Orb
Pomme Fritz
Orbus Terrarum

Miles Davis:
E.S.P.
Miles Smiles
Sorcerer
Nefertiti

Would have gone Filles De Killmanjaro>Jack Johnson, but Big Fun isn't quite up to "classic" status.

I meant self-titled, lol

Close but not quite

2112
Farwell to Kings
Hemispheres
Permanent Waves
Moving Pictures

while she's probably too dance-pop for a lot of posters here, I think many would argue

Janet Jackson: Control/Rhythm Nation/janet./The Velvet Rope, yet she followed those 4 with four albums that are almost universally despised, although Damita Jo and Discipline are decent IMO

EVOL > Sister > Daydream Nation > Goo
The Real Thing > Angel Dust > King For A Day... > Album Of The Year
The Black Rider > Blood Money > Alice > Real Gone
Los Angeles > Wild Gift > Under The Big Black Sun > More Fun In The New World
The Warning > Rage For Order > Operation Mindcrime > Empire
Gretchen Goes To Nebraska > Faith Hope Love > King's X > Dogman

I'd say

Greetings
Wild, Innocent
Born To Run
Darkness

The keyboards in The River threw a wrench in it for me....

Sting

Ten Summoner's Tales
Mercury Falling
Brand New Day
Sacred Love

2Pac - Strictly 4 My N.I.G.G.A.Z., Me Against The World, All Eyez On Me, The 7 Day Theory.

= J

Pixies:
Surfer Rosa, Doolittle, Bossanova, Trompe Le Monde

The Rolling Stones:
Beggars Banquet, Let It Bleed, Sticky Fingers, Exile on Main Street

The Beatles (US Releases):
Revolver, Sgt. Pepper, Magical Mystery Tour, White Album, Abbey Road, Let It Be

Johnny Cash:
American Recordings I-IV (IMO, V was a quick cash grab)

Leonard Cohen:
Songs From a Room, Songs of Love and Hate, New Skin for the Old Ceremony, Death of a Ladies Man

Various Positions, I'm Your Man, The Future, Ten New Songs

David Bowie:
Diamond Dogs, Young Americans, Station to Station, Low, Heroes, Lodger

Bjork:
Debut, Post, Homogenic, Verpertine, Medulla

Nine Inch Nails:
Pretty Hate Machine, Downward Spiral, The Fragile, With Teeth, Year Zero, The Slip

Pink Floyd:
Dark Side of the Moon, Wish You Were Here, Animals, The Wall

Ice Cube:
Amerikkkas Most Wanted, Death Certificate, The Predator, Lethal Injection

Nick Cave:
Let Love In, Murder Ballads, The Boatman's Call, No More Shall We Part