Prince - 1999, Purple Rain
Paul McCartney - Band on the Run
Pink Floyd - Dark Side of the Moon, Wish You Were Here, Animals, The Wall
The Beatles - Abbey Road
Kanye West - My Beautiful Dark Twisted Fantasy
Nas - Illmatic
Fleetwood Mac - Fleetwood Mac, Rumours
Elton John - Honky Chateau, Madman Across the Water, Goodbye Yellow Brick Road
Steely Dan - Aja, Gaucho
Alan Parsons Project - I Robot
The Roots - Illadelph Halflife
Rush - Moving Pictures
Holst - The Planets
Erykah Badu - New Amerykah Part 2
Stevie Wonder - Songs in the Key of Life, Innervisions, Talking Book
Michael Jackson - Off The Wall, Thriller
Billy Joel - Turnstiles, 52nd Street, Glass Houses
Daft Punk - Discovery
Miles Davis - Kind of Blue
Sly and the Family Stone - There's a Riot Going On
GZA - Liquid Swords
Wu-Tang Clan - 36 Chambers
Marvin Gaye - What's Going On
I'm sure there's a lot more. My collection is vast, but those are just a few albums I can enjoy all the way through and don't consider them cluttered with filler. Will add to the list when I think of more.
*by no means am I suggesting these albums are flawless, but I can enjoy them from start to finish without hitting the "skip next" button.