Apologies for the length of this, but I've been around a long time!
The following are albums I've listened to repeatedly, and often bought in many formats as time went by:
First and foremost: The Velvet Underground & Nico - first album
And then, in no particular order:
The Velvet Underground - White Light, White Heat
Leonard Cohen - Songs Of Leonard Cohen, You Want It Darker
Tim Hardin - Tim Hardin 1, Suite For Susan Moore & Damion
Beatles - White Album, Sargent Pepper's Lonely Hearts Club Band
Sam & Dave - Sam & Dave, I Thank You
The Temptations - I Wish It Would Rain, Get Ready
The Miracles - Going To A Go Go
James Brown - Live At The Apollo, Star Time
Public Enemy - It Takes A Nation Of Millions To Hold Us Back
Kenny Burrell - Blues The Common Ground, Guitar Forms
Ben Webster - The Art Tatum Sessions
Bob Dylan - Highway 61 Revisited, Blonde On Blonde, Blood On The Tracks
Joy Division - Closer
New Order - Substance 1987
The Smiths - The Smiths
Elvis Costello - My Aim Is True, Painted From Memory
Paul Butterfield Blues Band - self-named first album
Jimi Hendrix - Electric Ladyland
Big Brother and The Holding Company w/ Janis Joplin - Cheap Thrills
The Harder They Come movie soundtrack
Belle & Sebastian - The Boy With The Arab Strap
The Beach Boys - Pet Sounds
Elvis Presley - Elvis Presley
Little Richard - Here's Little Richard
Chuck Berry - The Great 28
Buddy Holly & The Crickets - The Chirping Crickets, 20 Golden Greats
Elmore James - collections
T-Bone Walker - collections
B.B. King - Live At The Regal
Albert King - Live Wire - Blues Power
Mott The Hoople - All the Young Dudes, Mott
The Smiths - The Smiths
Bruce Springsteen - Born In The USA, Tunnel Of Love
The Sex Pistols - Never Mind The Bollocks
MC5 - Kick Out The Jams
Brian Eno - Taking Tiger Mountain By Strategy
Patti Smith - Horses
Phil Spector - Back to Mono 1958-1969, A Christmas Gift For You
Eric Clapton - Layla
Cream - Fresh Cream
Neil Young - Everybody Knows This Is Nowhere
Modern Lovers - Modern Lovers
Jackson Brown - Late For The Sky
Jefferson Airplane -Volunteers
Randy Newman - 12 Songs
Muddy Waters - At Newport 1960
De La Soul - 3 Feet High & Rising
Lou Reed - Berlin
Jethro Tull - Aqualung
Nick Drake - Pink Moon
Grateful Dead- Live Dead
Jesus & Mary Chain - Psychocandy
Pink Floyd - Dark Side Of The Moon, The Wall
The Who - My Generation, Tommy, Who's Next, Live At Leeds
Ray Charles - Modern Sounds In Country & Western Music
Patsy Cline - The Ultimate Collection
My Bloody Valentine - Loveless
Beastie Boys - Licensed To Ill, Paul's Boutique
New York Dolls - New York Dolls
Santana - Abraxas
The Strokes - Is This It
Various Artists - Nuggets: Original Artyfacts From The First Psychedelic Era 1965-1968
John Mayall with Eric Clapton - Bluebreakers
John Mayall with Peter Green - A Hard Road
John Mayall with Mick Taylor - Crusade, The Diary Of A Band Pt. 1
Fleetwood Mac w/ Peter Green - Live At The Boston Tea Party, Vols., 1, 2, 3
Rod Stewart - Every Picture Tells A Story
The Faces - A Nod Is As Good As A Wink To A Blind Horse, Ooh La La
Otis Redding - Dictionary Of Soul, The Dock Of The Bay
T-Rex - T. Rex, Electric Warrior
The Pretenders - Pretenders
Buck Owens & The Buckaroos - several albums, Bakersfield C&W, my guilty pleasure...
Arcade Fire - Funeral
NWA - Straight Outa Compton
The Replacements - Tim
Television - Marquee Moon
Iggy & The Stooges -Raw Power
Sly & The Family Stone - Stand!, Fresh
Etta James - At Last
Rolling Stones - 12 x 5, Aftermath, Sticky Fingers, Exile On Main Street, Get Your Ya-Ya's Out
Joni Mitchell - Court & Spark
Frank Sinatra - In The Wee Small Hours
Bo Diddley - best of...
Led Zeppelin - Led Zeppelin II
Prince & The Revolution - Purple Rain, 1999
Van Morrison - Moondance, Tupelo Honey
Allman Brothers Band - At The Fillmore East
David Bowie - The Rise & Fall Of Ziggy Stardust & The Spiders From Mars
Genesis - Selling England By The Pound
Supertramp - Supertramp
ABC - The Lexicon Of Love
Robert Johnson - The Complete Recordings
The National - Boxer, High Violet
Tennis - Cape Dory
Palmyra Delran - You Are What You Absorb
Ry Cooder - first Album, Paris Texas soundtrack, The Prodigal Son
Gene Vincent & His Blue Caps - first album
Righteous Brothers - Gold
Crystal Stilts - In Love With Oblivion
David Ruffin - The Great David Ruffin
Dyke & The Blazers - The Funky Broadway, Dyke's Greatest Hits
The Walker Brothers - Everything Under The Sun
Thee Midniters - all releases
Wilson Picket - Funky Midnight Mover