There's a lot of good albums metioned here, but there are many albums from different genres that I enjoy, and will listen to straight through usually:
Classic Rock:
Jimi Hendrix - Are You experienced?
The Who - Who's Next
Rolling Stones - Beggar's Banquet / Let It Bleed / Sticky Fingers / Exile On Main St.
The Beatles - Sgt. Pepper's / Rubber Soul / Revolver
Led Zeppelin - I / II / IV / Houses of the Holy
Creedence Clearwater Revival - Bayou Country / Cosmo's Factory
The Doors - The Doors
Progressive Rock:
Pink Floyd - Dark Side of the Moon / Wish You Were Here
Genesis - A Trick of the Tail / The Lamb Lies Down on Broadway
Rush - Moving Pictures / Permanent Waves
David Bowie - The Singles 1969-1993
70's Stadium Rock:
Boston - Boston
Supertramp - Breakfast In America
Van Halen - Van Halen
Punk Rock:
The Clash - London Calling
Sex Pistols - Never Mind the Bollocks
Ramones - Ramones / Rocket To Russia
Operation Ivy - Operation Ivy
Greenday - Dookie
90's Grunge:
Nirvana - Nevermind / In Utero
Soundgarden - Superunknown
Alice In Chains - Dirt / Jar of Flies E.P.
Stone Temple Pilots - Purple
Pearl Jam - Ten
New Wave:
Talking Heads - Remain In Light / Speaking In Tongues
Elvis Costello - My Aim Is True
The Cars - The Cars
The Police - Ghost In the Machine
The B-52's - The B-52's
80's Alternative:
R.E.M. - Murmur / Document
Depeche Mode - Violator
The Cure - The Head On the Door / Disintegration
The Smiths - Singles
U2 - War / The Joshua Tree
Peter Gabriel - Peter Gabriel 3 / Peter Gabriel 4 (Security) / So
Midnight Oil - Blue Sky Mining
Violent Femmes - Violent Femmes
Heavy Metal:
Black Sabbath - Black Sabbath / Paranoid / Master of Reality / Vol.4
Tool - Aenima
Metallica - Master of Puppets / And Justice For All / Metallica
Pantera - Vulgar Display of Power
White Zombie - La Sexorcisto: Devil Music Vol.1
Helmet - Meantime
Nu-Metal:
Rage Aginst the Machine - Rage Against the Machine / Battle of Los Angeles
Deftones - White Pony
Linkin Park - Hybrid Theory
Sevendust - Sevendust
Trip Hop / Electronica:
Massive Attack - Mezzanine
Air - Moon Safari / Talkie Walkie
Chemical Brothes - Exit Planet Dust
Portishead - Dummy
Shoegazer:
My Bloody Valentine - Loveless
Ride - Nowhere
Slowdive - Souvlaki
Lush - Spooky
Britpop / Madchester:
Stone Roses - Stone Roses
The Charlatans UK - Between 10th and 11th / Up To Our Hips
Coldplay - Parachutes
Radiohead - OK Computer
Oasis - (What's the Story) Morning Glory
90's Misc. Alternative:
R.E.M. - Automatic For the People
Smashing Pumpkins - Siamese Dream
U2 - Achtung Baby
Counting Crows - August and Everything After
Mazzy Star - So Tonight That I Might See
Foo Fighters - The Colour and the Shape
James - Laid
Matthew Sweet - Girlfriend
Sonic Youth - Dirty
Nine Inch Nails - The Downward Spiral
Tori Amos - Under the Pink / From the Choirgirl Hotel
Red Hot Chili Peppers - Blood Sugar Sex Magik
Jane's Addiction - Nothing's Shocking
The Cranberries - Everbody Else Is Doing It, So Why Can't We?
Dave Matthews Band - Under the table and Dreaming
Folk Rock:
Neil Young - Harvest / After the Gold Rush
The Eagles - Hotel California
Fleetwood Mac - Rumours / Fleetwood Mac
Nick Drake - Pink Moon
Modern Trends (A.K.A. 'Hipster Music')
The Flaming Lips - Yoshimi Battles the Pink Robots / The Soft Bulletin
Spoon - Kill the Moonlight
Interpol - Turn on the Bright Lights
The Strokes - Is This It
Sonic Youth - Murray Street
The White Stripes - De Stijl
The Raveonettes - Whip It On
Queens of the Stone Age - Songs For the Deaf
Franz Ferdinand - Franz Ferdinand
General Rock:
Tom Petty - Wildflowers / Full Moon Fever / Damn the Torpedoes
Lenny Kravitz - Mama Said
The Black Crowes - Shake Your Money Maker / The Southern Harmony...
Big Head Todd and the Monsters - Sister Sweetly
That's about it I think
I don't listen to Rap, Country, or Top 40 Pop.
I like Jazz also but don't know much of anything about it, other than I like John Coletrain and Thelonius Monk when I hear them. Same goes for Classical, I generally like Mozart the best out of what I know.