1960s
Jimi Hendrix of the Jimi Hendrix Experience
1965: Highway 61 Revisited by Bob Dylan
(runner up: Rubber Soul by the Beatles)
1966: Blonde on Blonde by Bob Dylan
(runner up: Pet Sounds by the Beach Boys)
1967: Are You Experienced? by the Jimi Hendrix Experience
(runners up: Forever Changes by Love, The Doors by the Doors, and The Velvet Underground & Nico by the Velvet Underground & Nico)
1968: Behold & See by Ultimate Spinach
(runners up: Electric Ladyland by the Jimi Hendrix Experience and The Kinks Are the Village Green Preservation Society by the Kinks)
1969: In the Court of the Crimson King by King Crimson
(runners up: Arthur or the Decline and Fall of the British Empire by the Kinks and Hot Rats by Frank Zappa)
1970s
Duane Allman of the Allman Brothers Band
1970: Layla and Other Assorted Love Songs by Derek and the Dominos
(runner up: Paranoid by Black Sabbath)
1971: At Fillmore East by the Allman Brothers Band
(runner up: Master of Reality by Black Sabbath)
1972: Close to the Edge by Yes
(runners up: Eat A Peach by the Allman Brothers Band and Pink Moon by Nick Drake)
1973: Camel by Camel
(runners up: Ashes are Burning by Renaissance and Future Days by Can)
1974: Mirage by Camel
(runner up: Red by King Crimson)
1975: NEU! '75 by NEU!
(runner up: Another Green World by Brian Eno)
1976: El Jardín de los Presentes by Invisible
(runner up: Seychelles by Masayoshi Takanaka)
1977: Aja by Steely Dan
(runner up: Rumours by Fleetwood Mac)
1978: n/a
1979: Casiopea by Casiopea
1980s

J Mascis of Dinosaur Jr.
1980: Remain in Light by Talking Heads
1981: Discipline by King Crimson
1982: n/a
1983: n/a
1984: n/a
1985: Hounds of Love by Kate Bush
1986: n/a
1987: You're Living All Over Me by Dinosaur Jr.
1988: n/a
1989: Disintegration by the Cure
1990s
Kurt Cobain of Nirvana
1990: n/a
1991: Nevermind by Nirvana
(runner up: Loveless by My Bloody Valentine)
1992: n/a
1993: In Utero by Nirvana
1994: Weezer by Weezer
(runner up: Welcome to Sky Valley by Kyuss)
1995: n/a
1996: LONG SEASON by Fishmans
(runner up: Pinkerton by Weezer)
1997: OK Computer by Radiohead
(runners up: The Mollusk by Ween, Ladies and Gentlemen We Are Floating in Space by Spiritualized, and Uchu Nippon Setagaya by Fishmans)
1998: In the Aeroplane Over the Sea by Neutral Milk Hotel
(runner up: 98.12.28 Otokotachi no wakare by Fishmans)
1999: American Football by American Football
(runner up: Ágætis byrjun by Sigur Rós)
2000s

Dean Ween of Ween
2000: Lift Yr. Skinny Fists Like Antennas to Heaven! by Godspeed You! Black Emperor
(runners up: Since I Left You by the Avalanches, White Pony by Deftones, and The Noise Made by People by Broadcast)
2001: Discovery by Daft Punk
(runner up: Is This It by the Strokes)
2002: Songs for the Dead by Queens of the Stone Age
2003: Quebec by Ween
(runner up: Velocity : Design : Comfort by Sweet Trip and Akuma No Uta by Boris)
2004: MM..FOOD by MF DOOM
(runner up: Koibito e by Lamp)
2005: The Campfire Headphase by Boards of Canada
(runner up: Pink by Boris)
2006: n/a
2007: In Rainbows by Radiohead
(runner up: Sound of Silver by LCD Soundsystem)
2008: Aratamemashite, hajimemashite, Midori desu. by Midori
(runner up: Two Airships/Exploder Falls by Candy Claws)
2009: You Will Never Know Why by Sweet Trip
2010s

Stu Mackenzie of King Gizzard and the Lizard Wizard
2010: Teen Dream by Beach House
(runner up: Halcyon Digest by Deerhunter)
2011: Helplessness Blues by Fleet Foxes
(runners up: Twin Fantasy (Mirror To Mirror) by Car Seat Headrest and Crystallize by Tokyo Shoegazer)
2012: good kid, m.A.A.d city by Kendrick Lamar
(runners up: 12 Bar Bruise by King Gizzard and the Lizard Wizard and channel ORANGE by Frank Ocean)
2013: Float Along - Fill Your Lungs by King Gizzard and the Lizard Wizard
(runners up: Ceres & Calypso in the Deep Time by Candy Claws, ...Like Clockwork by Queens of the Stone Age, and Fetch by Melt-Banana)
2014: I'm In Your Mind Fuzz by King Gizzard and the Lizard Wizard
(runner up: Oddments by King Gizzard and the Lizard Wizard)
2015: Mutilator Defeated at Last by Thee Oh Sees
(runners up: Paper Mâché Dream Balloon by King Gizzard and the Lizard Wizard and Currents by Tame Impala)
2016: Nonagon Infinity by King Gizzard and the Lizard Wizard
(runners up: High Visceral Pt.1 by Psychedelic Porn Crumpets, A Weird Exits by Thee Oh Sees, and Teens of Denial by Car Seat Headrest)
2017: Polygondwanaland by King Gizzard and the Lizard Wizard
(runners up: Murder of the Universe by King Gizzard and the Lizard Wizard, Orc by Thee Oh Sees, and Flower Boy by Tyler, the Creator)
2018: Time 'n' Place by Kero Kero Bonito
(runners up: Twin Fantasy (Face To Face) by Car Seat Headrest and Crumbling by Mid-Air Thief)
2019: Infest The Rats' Nest by King Gizzard and the Lizard Wizard
(runners up: Fishing For Fishies by King Gizzard and the Lizard Wizard and Charli by Charli XCX)
2020s
Emily Green of Geese
2020: Live In San Francisco '16 by King Gizzard and the Lizard Wizard
(runners up: K.G. by King Gizzard and the Lizard Wizard, UMMON by SLIFT, and How I'm Feeling Now by Charli XCX)
2021: L.W. by King Gizzard and the Lizard Wizard
(runners up: Civilisation by Kero Kero Bonito, Comfort To Me by Amyl and the Sniffers, and Time Is A Mirror by Oregon Space Trail of Doom)
2022: Ice, Death, Plants, Lungs, Mushrooms and Lava by King Gizzard and the Lizard Wizard
(runners up: Dragon New Warm Mountain I Believe In You by Big Thief, Laminated Denim by King Gizzard and the Lizard Wizard, and Omnium Gatherum by King Gizzard and the Lizard Wizard)
2023: 3D Country by Geese
(runners up: Intercepted Message by Osees, Live at Red Rocks '22 by King Gizzard and the Lizard Wizard, and After the Magic by Parannoul)
2024 so far: BRAT by Charli XCX
(runner up: You Could Do It Tonight by Couch Slut)
Leave your own list in the replies! It doesn't need to be the same years, I picked 1965 as a start because it was the earliest year I actually had a solid pick for. This took a couple hours to compile and I most definitely missed some stuff so I'll update it at some point!