2010 - Mass Effect 2
2011 - Uncharted 3
2012 - Mass Effect 3
2013 - The Last of Us
2014 - Wolfenstein The New Order
2015 - Fallout 4
2016 - Uncharted 4
2017 - Horizon Zero Dawn
2018 - God of War
2019 - Resident Evil 2 Remake (so far...)
2020 is gonna be very tough to pick!

2010 - Red Dead Redemption
2011 - The Elder Scrolls V: Skyrim
2012 - Journey
2013 - The Last of Us
2014 - Destiny
2015 - Bloodborne
2016 - The Last Guardian
2017 - Horizon: Zero Dawn
2018 - God of War
2019- Resident Evil 2: Remake

From what i played to conclusion (only owned PC, PS3 and PS4 and I only played a few Wii/Switch games for shorts periods of time)

2010 - Red Dead Redemption (if Final Fantasy XIII counted as a 2010 game for launching in the west that year instead of 2009 like in Japan, it would've been my GOTY)
2011 - Uncharted 3 (was a disappointment at first compared to Uncharted 2, but it was still my favorite game that year)
2012 - Mass Effect 3 (I don't care what people say about the ending or the game overall, even if they're right, i just loved that game to bits)
2013 - The Last of Us (My GOAT game)
2014 - Destiny (worst year of the decade by far....but i had to choose something)
2015 - The Witcher III (Strongest year of the decade, Metal Gear Solid V, Bloodborne and Batman Arkham Knight were top contenders too)
2016 - Uncharted 4 (Another weak year for my tastes because Final Fantasy XV and The Last Guardian didn't reach the levels i expected from them after so many years of hype)
2017 - Horizon Zero Dawn (My biggest surprise of the gen and one of my favorite games ever, although props to Nier Automata too, a top 5 game of the gen for me)
2018 - God of War (PS4 best game, enough said)
2019 - Death Stranding (the most original and unique triple AAA game i ever played, just unforgettable).

I wish i could've played more of Super Mario Galaxy 2 and BOTW, but it wasn't enough to consider them for GOTY.