For curiosity, are there any symphonies where you would skip a movement? The only one that comes to mind at all is Mahler 1st because I hate the minor variations on ‘Frère Jacques’, but even then, I think I either listen to a different symphony or suffer through that movement.
What’s weird about your musical tastes? I have all those albums.
weirdo 
Of those not yet mentioned:
Fear of a Black Planet - Public Enemy
Purple Rain - Prince
Mama’s Gun - Erykah Badu
Kind of Blue - Miles Davis
Brand New Day, **Ten Summoner’s Tales **- Sting
The Fragile - Nine Inch Nails
Hot - Squirrel Nut Zippers
Hot House - Arturo Sandoval
Katamari Damacy Original Soundtrack
Beastie Boys - Licensed To Ill
Ozomatli, **Street Signs **- Ozomatli
You’ve Come A Long Way, Baby - Fat Boy Slim
I was about to say…other than the Tchaikovsky, so do I. (Then again, Elendil’s Heir and I have compared notes on music before. 
)
Too many to name. Way too many to name.
The first few that come to mind:
Little Earthquakes - Tori Amos
Paul’s Boutique - Beastie Boys
London Calling - The Clash
Thriller - Michael Jackson
Blue Lines - Massive Attack
Songs in the Key of Life - Stevie Wonder
Same here. I have about 400 CDs and very rarely do I skip songs when I’m playing them. If I’m listening on my computer, I’ll frequently queue up random individual songs, but I prefer to listen to albums all the way through.
Gang of Four - Entertainment!
The Clash - The Clash
Prince - Sign ‘O’ The Times
The Feelies - Crazy Rhythms
The Beatles - Revolver
The Go-Betweens - 16 Lovers Lane
Robyn Hitchcock & The Egyptians - Fegmania!
The Jesus & Mary Chain - Psychocandy
Big Star - #1 Recrd/Radio City
While it’s unusual these days for me to listen to entire albums, ones where I’d feel no need to skip songs include:
anything by Los Straitjackets
The Who - Who’s Next, Tommy
NRBQ - Wild Weekend*
Eno - Taking Tiger Mountain By Strategy
*well OK, I might the skip the Obligatory Sappy Love Song (one is required on every NRBQ album) - but the rest are all gems.
Oh, jeez, yeah, most of them. Virtually all. That’s why Tchaikovsky’s Fifth stands out for me; it’s the only one I can think of off the top of my head where I like each and every movement. For the others, I prefer the up-tempo movements just about every time, and don’t particularly care for most of the slower parts. I really, really like Handel’s Messiah and Bach’s Brandenburg Concertos, for instance, but there are several pieces in each that leave me meh.
Bless you, and kenobi 65!
The Seldom Seen Kid - Elbow. It’s an album I can happily do nothing else but listen to. Never not in the mood for it, hasn’t grown tiresome at all.
The Remote Part - Idlewild.
Do You Like Rock Music? - British Sea Power.
And of course, Whatever People Say I am, That’s What I’m Not - Arctic Monkeys.
This.
Also: Parade - Music From the Motion Picture Under the Cherry Moon, which is Prince’s best album (though I used to think his best was the aforementioned Sign ‘O’ the Times).
This one comes very close for me, but I cannot stand “The India Song” on #1 Record.
Albums that I always listen to all the way through:
Arcade Fire - Funeral
The Avett Brothers - I and Love and You
Bright Eyes - I’m Wide Awake, It’s Morning; Lifted
Brian Jonestown Massacre - Give It Back; Take It From The Man!
British Sea Power - The Decline of British Sea Power
Dave Brubeck Quartet - Time Out
Decemberists - Castaways and Cutouts; Hazards of Love
The Gaslight Anthem - The '59 Sound
Iron and Wine/Calexico - In the Reins
Marillion - Misplaced Childhood
Miles Davis - Kind of Blue
Neutral Milk Hotel - In the Aeroplane Over the Sea
The New Pornographers - Twin Cinema; Challengers
Okkervil River - The Stage Names
Pavement - Crooked Rain, Crooked Rain
The Pogues - If I Should Fall From Grace With God; Rum, Sodomy and the Lash
REM - Life’s Rich Pageant; Reckoning
The Rolling Stones - Beggars Banquet; Let It Bleed
The Smithereens - Especially For You
The Smiths - their entire catalog
Squirrel Nut Zippers - Hot
Son Volt - Trace (which I’ve been listening to all weekend)
Violent Femmes - Violent Femmes
I like your taste in music. Seconded for Boston, Traveling Wilburys, and Mystery Girl. When I used to have these albums on cassette, I used to leave the player on auto-reverse and play them over and over.
I also like:
Building the Perfect Beast and The End of the Innocence by Don Henley
Scarecrow and The Lonesome Jubilee by John Cougar Mellencamp (as he was known then)
Centerfield by John Fogerty
Born in the U.S.A. by Bruce Springsteen and the E Street Band
Eliminator by ZZ Top
The Stranger, 52nd Street, and An Innocent Man by Billy Joel
Business As Usual and Cargo by Men At Work
I could listen to all of these albums without skipping one song.
Good choice! That’s my favorite album of theirs.
Here’s my list. It’s pretty easy for me to listen to an album without skipping a song, so I’ll just list the ones where I really wouldn’t want to.
Big Star’s first three albums
Beach Boys- Pet Sounds
the Beatles- Please Please Me
It’s not that this is my favorite of theirs or anything. When I choose to listen to this album I want to listen to all the songs. It’s possible that I’d skip some of the songs on here if they were on a different album, but on this album they work well.
The Church- Starfish
David Bowie- The Rise and Fall of Ziggy Stardust and the Spiders from Mars, Station to Station
Massive Attack- Blue Lines
Meat Puppets- Too High to Die
Okkervil River- The Stage Names
Pixies- Come On Pilgrim, Doolittle
R.E.M.- Murmur, Reckoning, Lifes Rich Pageant, Out of Time (yes, really), Automatic for the People
The Replacements- Let It Be
Television- Marquee Moon
The Cure, Head on the Door
The Clash, Sandanista (actually a double album)
Doves, debut album
The Chameleons, Strange Times
REM, Out of Time (totally, really)
The Replacements, Tim
World Party, Private Revolution
The Pretenders, debut album/Pretenders II
Joe Jackson, I’m the Man
Echo and the Bunnymen, Ocean Rain
Kitchens of Distinction, Strange Free World
Massive Attack, Mezzanine
Elvis Costello, Armed Forces
Jimi Hendrix, Are You Experienced?
Pearl Jam,Yield
This Mortal Coil, Filigree & Shadow
Steely Dan, The Royal Scam
And here, I thought I’d found my long lost twin from whom I was separated in a Gilbert and Sullivanesque twist of fate…
Where is Love? Irene Kral Finest love ballad CD ever done
Ballad for Edvard Grieg Leif Oves Andsnes Wonderful versions of Grieg’s Concerto for piano in A minor and his Ballade
Could it be? Could it really… be?
:: cues the orchestra ::
Seconded.
Also:
Late For The Sky - Jackson Browne
Operation: Mindcrime - Queensryche
Toad the Wet Sprocket – In Lite Syrup