The Backloggery is a website that allows tracking various games and their completion status. I have a profile there as well. This is a list of games and 
expansions I've beaten or completed within a "Backloggery year", which is sort of like a fiscal year in that it's not aligned to any type of calendar 
year. In my case it starts and ends June 3rd.

Year 1 (to 2012):

31/65 unfinished (11 unplayed)

Beaten (16 total):
999: Nine Hours, Nine Persons, Nine Doors (DS)
The Elder Scrolls IV: Oblivion (Main, Shivering Isles, Knights of the Nine) (PC)
Final Fantasy (PSP)
Fallout 3 (Main, The Pitt, Broken Steel, Point Lookout, Mothership Zeta) (PC)
Fallout: New Vegas (Dead Money, Honest Hearts, Old World Blues) (PC, Steam)
Journey (PS3)
LEGO Star Wars: The Complete Saga (360)
The Wonderful End of the World (PC, Steam)

Completed (4 total):
Back to the Future (Episode 1) (PS3)
Fez (360)
Fallout 3 (Operation: Anchorage) (PC)
Portal 2 (Peer Review) (PC, Steam)

Total new beaten: 20

===================

Year 2 (to 2013):

51/112 unfinished (15 unplayed)

Beaten (9 total):
Chibi-Robo: Park Patrol (DS)
Fallout: New Vegas (Lonesome Road) (PC, Steam)
Little Inferno (PC, Steam)
Pokemon SoulSilver (DS)
Pokemon White (DS)
Portal 2 (PS3)
Scribblenauts Unlimited (PC, Steam)
Stacking (360)
Zero Escape: Virtue's Last Reward (3DS)

Completed (14 total):
Antichamber (PC, Steam)
Sam & Max Save the World (All Episodes) (PC, GOG)
Sam & Max Beyond Time and Space (All Episodes) (PC, GOG)
Sam & Max: The Devil's Playhouse (Episodes 1-2) (PC, GOG)

Total new beaten: 23

=======================

Year 3 (to 2014):

64/139 unfinished (13 unplayed)

Beaten (10 total):
Bioshock Infinite (PC, Steam)
Brothers: A Tale of Two Sons (PC, Steam)
Call of Duty 4: Modern Warfare (PS3)
Call of Duty: Black Ops (360)
The Elder Scrolls V: Skyrim (Main, Dawnguard) (PC, Steam)
Gone Home (PC, Steam)
Papo & Yo (PC, Steam)
Pokemon X (3DS)
The Stanley Parable (PC, Steam)

Completed (4 total):
Sam & Max: The Devil's Playhouse (Episodes 3-5) (PC, GOG)
Scribblenauts Unlimited (PC, Steam)

Total new beaten: 13

=============

Year 4 (to 2015):

66/151 unfinished (18 unplayed)

Beaten (9 total):
Asura's Wrath (PS3)
Bioshock Infinite (Burial at Sea Part 1) (PC, Steam)
The Elder Scrolls V: Skyrim (Dragonborn) (PC, Steam)
Fable: The Lost Chapters (PC, Steam)
Fable 3 (360)
Fallout: New Vegas (Main) (PC, Steam)
Octodad: Dadliest Catch (PC, Steam)
Pokemon Alpha Sapphire (3DS)
The Talos Principle (PC, Steam)

Completed (1 total):
Sam & Max Hit the Road (PC, GOG)

Total new beaten: 10

==========

Year 5 (to 2016):

74/171 unfinished (14 unplayed)

Beaten (7 total):
Fallout 4 (Main) (PC, Steam)
Half-Life 2 (PC, Steam)
Half-Life 2: Episode One (PC, Steam)
Half-Life 2: Episode Two (PC, Steam)
Portal 2 (Portal Stories: Mel [Mod]) (PC, Steam)
The Walking Dead Season 1 (Main, 400 Days) (PC, Steam)

Completed (6 total):
Grim Fandango Remastered (PC, GOG)
Half-Life (PC, Steam)
Half-Life: Blue Shift (PC, Steam)
Half-Life: Opposing Force (PC, Steam)
Jazzpunk (PC, Steam)
Pokemon X (3DS)

Total new beaten: 12

============

Year 6 (to 2017):

73/182 unfinished (13 unplayed)

Beaten (12 total):
Call of Duty: Advanced Warfare (PS3)
Call of Duty: Modern Warfare 3 (PS3)
Fallout 4 (Automatron, Far Harbor, Nuka World) (PC, Steam)
Grow Home (PC, Steam)
Grow Up (PC, Steam)
LEGO Worlds (PC, Steam)
The Magic Circle (PC, Steam)
Pokemon Moon (3DS)
Pony Island (PC, Steam)
Spec Ops: The Line (PC, Steam)

Completed (0 total)

Total new beaten: 12

===========

Year 7 (to 2018):

74/189 unfinished (12 unplayed)

Beaten (3 total):
The Conduit (Wii)
Earth Defense Force 2017 (360)
Stories Untold (PC, Steam)

Completed (0 total)

Total new beaten: 3

===========

Year 8 (to 2019):

79/203 unfinished (12 unplayed)

Beaten (5 total):
Fable 2 (Knothole Island) (360)
Fallout: New Vegas (Fallout: New California [Mod]) (PC, Steam)
Hypnospace Outlaw (PC)
Lego: Lord of the Rings (PC, Steam)
Tacoma (PC)

Completed (5 total):
BoxBoy! (3DS eShop)
Donut County (Switch eShop)
Garry's Mod (Jazztronauts [Mod]) (PC, Steam)
My Nintendo Picross: The Legend of Zelda: Twilight Princess (3DS eShop)
Toonstruck (PC, GOG)

Total new beaten: 10

===========

Year 9 (to 2020):

85/225 unfinished (13 unplayed)

Beaten (14 total):
Animal Crossing: New Horizons (Switch eShop)
BoxBoxBoy! (3DS eShop)
Call of Duty: Black Ops 3 (PS4)
Call of Duty: Infinite Warfare (PS4)
Chex Quest HD (PC, Steam)
Gylt (Stadia)
The Hex (PC, Steam)
LEGO: The Hobbit (PC, Steam)
Pikuniku (Switch eShop)
Postal 2 (A Week In Paradise) (PC, Steam)
Sonic Forces (Switch)
Star Fox 2 (Switch Online, SNES)
Titanfall 2 (PS4)
The Turing Test (Stadia)

Completed (2 total):
Rumu (PC, Steam)
StarTropics (Switch Online, NES)

Total new beaten: 16

===========

Year 10 (to 2021):

85/241 unfinished (13 unplayed)

Beaten (12 total):
Batman: The Enemy Within (XCloud Beta)
Batman: The Telltale Series (XCloud Beta)
Carto (XB1, XGP)
Control (XB1, XGP)
Eastshade (XB1, XGP)
Earth Defense Force 4.1: The Shadow of New Despair (PS4)
The Elder Scrolls IV: Oblivion (XCloud, XGP)
Marvel's Spider-Man (PS4)
Observation (XB1, XGP)
PHOGS! (XB1, XGP)
Starlink: Battle for Atlas (Switch eShop)
What Remains of Edith Finch (XB1, XGP)

Completed (3 total):
Genesis Noir (PC, XGP)
Island Saver (PC, Steam)
Portal 2 (Portal Reloaded [Mod]) (PC, Steam)

Total new beaten: 15

===========

Year 11 (to 2022)

85/254 unfinished (13 unplayed)

Beaten (12 total):
Exo One (XB1, XGP)
The Forgotten City (XB1, XGP)
LEGO Batman: The Video Game (XB1, 360)
LEGO Batman 2: DC Super Heroes (XB1, 360)
Lake (XB1, XGP)
Pokemon Sword (Switch)
Pupperazzi (XB1, XGP)
SkateBIRD (XB1, XGP)
The Stanley Parable: Ultra Deluxe (PC, Steam)
Superliminal (XB1, XGP)
Twelve Minutes (XB1, XGP)
Unpacking (XB1, XGP)

Completed (1 total):
Gorogoa (XB1, XGP)

Total new beaten: 13

===========

Year 12 (to 2023)

85/267 unfinished (13 unplayed)

Beaten (9 total):
Frog Detective: The Entire Mystery (PC, XGP)
Forza Horizon 5 (PC, XGP)
Her Story (PC, XGP)
Kentucky Route Zero: TV Edition (XB1, XGP)
LEGO Star Wars: The Skywalker Saga (PC, XGP)
Paradise Killer (XB1, XGP)
PowerWash Simulator (PC, XGP)
Tinykin (PC, XGP)
Telling Lies (XB1, XGP)

Completed (4 total):
The Artful Escape (XB1, XGP)
Beacon Pines (XB1, XGP)
The Murder of Sonic the Hedgehog (PC, Steam)
The Pedestrian (XB1, XGP)

Total new beaten: 13

===========

Year 13 (to 2024)

85/275 unfinished (13 unplayed)

Beaten (7 total):

Disney Dreamlight Valley (XB1, XGP)
Goat Simulator 3 (PC, XGP)
Immortality (PC, XGP)
LEGO The Incredibles (PS4)
A Little to the Left (PC, XGP)
Portal 2 (Portal Revolution [Mod]) (PC, Steam)
A Short Hike (XB1, XGP)

Completed (1 total):
Lil Gator Game (XB1, XGP)

Total new beaten: 8

===========

Year 14 (to 2025)

85/284 unfinished (13 unplayed)

Beaten (8 total):

Adios (XB1, GWG)
Arcade Paradise (XB1, XGP)
The Invincible (PC, Steam)
Loddlenaut (SD, Steam)
Marvel's Spider-Man: Miles Morales (PS5)
Marvel's Spider-Man 2 (PS5)
Maquette (XB1, XGP)
Starfield (PC, XGP)

Completed (1 total):

When the Past was Around (XB1, GWG)

Total new beaten: 9

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