2018 edit:
I'm going to leave this list as-is, but the one I actually update is here
https://rateyourmusic.com/list/Rakitox/best-album-of-all-the-years-will-never-be-completed-due-to-the-impossibility-of-listening-to-all-the-music-ever/
1963: The Beatles/"With The Beatles"
1964: The Beatles/"A Hard Day's Night"
1965: The Zombies/"Begin Here"
1966: Cream/"Fresh Cream"
1967: The Beatles/"Sgt. Pepper's Lonely Hearts Club Band"
1968: The Beatles/"The White Album"
1969: The Beatles/"Abbey Road"
1970: John Lennon/"Plastic Ono Band"
1971: T.Rex/"Electric Warrior"
1972: T.Rex/"The Slider"
1973: Lynyrd Skynyrd/"Pronounced"
1974: Queen/"Sheer Heart Attack"
1975: Bruce Springsteen/"Born to Run"
1976: Boston/"Boston"
1977: Lynyrd Skynyrd/"Street Survivors"
1978: Whitesnake/"Trouble"
1979: Paul McCartney and Wings/"Back to the Egg"
1980: Iron Maiden/"Iron Maiden"
1981: Iron Maiden/"Killers"
1982: Iron Maiden/"The Number of the Beast"
1983: Billy Joel/"An Innocent Man"
1984: Iron Maiden/"Powerslave
1985: Megadeth/"Killing is My Business... and Business is Good!"
1986: Iron Maiden/"Somewhere in Time"
1987: Guns N' Roses/"Appetite for Destruction"
1988: Iron Maiden/"Seventh Son of a Seventh Son"
1989: Nirvana/"Bleach"
1990: The Black Crowes/"Shake Your Moneymaker"
1991: Nirvana/"Nevermind"
1992: The Black Crowes/"The Southern Harmony and Musical Companion"
1993: Nirvana/"In Utero"
1994: Green Day/"Dookie"
1995: Radiohead/"The Bends"
1996: Weezer/"Pinkerton"
1997: Foo Fighters/"The Colour and the Shape"
1998: Neutral Milk Hotel/"In the Aeroplane Over the Sea"
1999: Muse/"Showbiz"
2000: Radiohead/"Kid A"
2001: The White Stripes/"White Blood Cells"
2002: Queens of the Stone Age/"Songs for the Deaf"
2003: Muse/"Absolution"
2004: Green Day/"American Idiot"
2005: Foo Fighters/"In Your Honour"
2006: Stone Sour/"Come Whatever May"
2007: Radiohead/"In Rainbows"
2008: The Last Shadow Puppets/"The Age of the Understatement"
2009: fun./"Aim and Ignite"
2010: Iron Maiden/"The Final Frontier"
2011: Foo Fighters/"Wasting Light"
2012: Dirty Projectors/"Swing lo Magellan"
2013: Stone Sour/"House of Gold and Bones Part Two"
2014: Death from Above 1979/"The Physical World"
2015: Chris Cornell/"Higher Truth"
2016: David Bowie/"Blackstar"