I do like albums that are formed as a single entity, not meant to be divided.
Always:
The Beatles - Rubber Soul
The Ramones - Rocket to Russia, Self Titled, Leaving Home
Bob Dylan - Bringing It All Back Home, Highway 61 Revisited
Grateful Dead - Europe '72, American Beauty, Random Live concerts
Allman Brothers - At Filmore East
Elvis Costello - My Aim is True
The Who - Who's Next, Quadrophenia
Talking Heads - Speaking In Tongues
The Heats - Smoke
Operation Ivy - Energy
Nirvana - Nevermind
Green Day - Kerplunk, Dookie, Warning, American Idiot
Jimmy Eat World - Clarity
Guster - Parachute, Lost and Gone Forever, Goldfly, Ganging Up on the Sun
Dispatch - Bang Bang
Weezer - Blue, Pinkerton
White Stripes - De Stijl
Airborne Toxic Event - Self Titled
Arcade Fire - Funeral
Counting Crows - August and Everything After
Cymbals Eat Guitars - Why There Are Mountains
The Exploding Hearts - Guitar Romantic
Arcade Fire - Funeral, Neon Bible
Explosions in the Sky - Those Who Tell the Truth Shall Die, Those Who Tell The Truth Shall Live Forever
Foxboro Hottubs - Stop, Drop, and Roll
Gaslight Anthem - '59 Sound
Girls - Album
Ida Maria - Fortress 'Round My Heart
The Pains Of Being Pure At Heart - Self Titled
Red Hot Chili Peppers - Stadium Arcadium
Sonic Youth - Murray Street
Vampire Weekend - Self Titled
ZOX - Take Me Home, The Wait, Line in the Sand
Los Campesinos - Hold On Now Youngster; We Are Beautiful, We Are Doomed;
Last but not least, what I'm listening to right now...
The Antlers - Hospice
Edit: New stuff (to me)
Yeasayer - Odd Blood
Broken Bells - S/T
Los Campesinos - Romance is Boring
Moby Grape - S/T
My Bloody Valentine - Loveless
Sharon Jones & The Dap Kings - Naturally
Most Listened To Of Late
Cymbals Eat Guitars - Why There Are Mountains
Los Campesinos - Every album