Games I've Played

Mostly Shooters and Stuff

Mass Effect 3 Multiplayer
According to social.bioware.com I've played 266 hours of this, as of December 9, 2015, over 840 games. I doubt that includes lobby time or character customization.
Halo: Combat Evolved
Legendary solo

I really liked Halo: CE. It was a strong game, and I've had a soft spot for the Halo story - I don't think it's particularly deep or told with finesse, but it's fun!
Halo 2
Heroic co-op

I've been telling myself I'm going to beat Halo 2 on legendary by myself since the day I beat Halo: CE on legendary. I feel the overwhelming urge to be able to say I've beaten the whole trilogy on the hardest difficulty! On the other hand, it's really goddamn hard.
Halo 3
Legendary co-op Legendary solo All Skulls found
Halo 3: ODST
Heroic co-op
Halo: Reach
Heroic co-op
Gears of War
Insane co-op
Gears of War 2
Hardcore co-op
Gears of War 3
Hardcore co-op
Half-Life
Half-Life: Blue Shift
Half-Life: Opposing Force
Half-Life 2 (and Episode 1) (and Episode 2)
Portal
Portal 2 (and co-op)
Army of Two
Army of Two: 40th Day
Operation Flashpoint: Dragon Rising
Gave up after like 30 minutes

This game was terrible.
Resistance: Fall of Man
Hard? co-op
Resistance 3
Hard co-op

These games weren't very deep, but they had decent shooting and good weapons. Resistance 2 didn't have co-op, so I didn't play it - I just watched my friend do it.
Killzone 3
Veteran? co-op

This game offered alternate color modes for colorblindness, which is awesome. Shame the dialogue and plot was so literally laughable.
Resident Evil 5
Veteran? co-op Broke one level

My pal and I played this over one break, and we couldn't take it seriously. Once we beat it, we spent our hard-earned points on getting infinite ammo for a few weapons - and decided we'd try to unlock infinite ammo for every weapon. We didn't end up doing that, but we did get so practiced at going through one level - which drops the most money for the time you spend in it by far - that we beat the max difficulty time trial by half. The magnum in that game is ridiculously overpowered.
F.3.A.R.
Fearless? co-op

As far as I can tell, these people have no idea what the phrase "survival horror" even means.
Team Fortress
Team Fortress 2

Not Shooters

Pokemon: Red
Beat the Elite Four
Pokemon: Silver
Pokemon: Diamond
Beat the Elite Four
Crimson Skies
Prince of Persia (1989)
Prince of Persia: Sands of Time
Prince of Persia (2008)
Super Smash Brothers: Melee
Every SP challenge
Super Smash Brothers: Brawl
Every achievement except one sticker
Mario Kart: Double Dash
Time Trial Staff Ghosts Every Cup on Mirror
Mario Kart: Wii
Gold Medals on Everything
Okami
All brush techniques
Legend of Zelda: Link's Awakening
I think this might be my #1 pick for best Zelda game.
Legend of Zelda: Ocarina of Time
Legend of Zelda: Majora's Mask
Legend of Zelda: The Wind Waker
Legend of Zelda: The Minish Cap
Legend of Zelda: Twilight Princess
Legend of Zelda: Skyward Sword
Unfinished
Super Mario 64
Super Mario Sunshine
Super Mario Galaxy
120 Stars
New Super Mario Bros 2
Super Mario 3D World
Final Fantasy
Final Fantasy 6
Halfway
Final Fantasy 7
Halfway
Final Fantasy 8
Halfway

I feel like including Final Fantasy games that I haven't finished is still reasonable because not finishing a Final Fantasy game involves a similar time commitment as finishing many other games.
No More Heroes
Mild All Beam Katanas
No More Heroes 2: Desperate Struggle
Mild
Guitar Hero
Expert
Rock Band
Expert Guitar Medium Drums
Super Metroid
Metroid: Fusion
Metroid: Zero Mission
Metroid Prime
Metroid Prime 3: Corruption
Silent Hill 2
Gave up In Water ending

As of September, 2013, this game is too scary for me. As of November, 2013, Glen and I finished it!
Psychonauts
Unfinished

I know Psychonauts is everyone's cult fave, but it just didn't grab me.
Naruto: Ultimate Ninja Storm
100% Collection 100% Mission Completion

I wouldn't recommend it.
SSX: Deadly Descents
Platinum Completion Trophy

Well, this took me literally over two years to finally pick up the last few trophies, BUT!

More Indie

Jumper
Unfinished
Jumper Two
Unfinished
Jumper Three
Cave Story
Gish
World of Goo
Osmos
Jamestown
Kerbal Space Program
Low Kerbin Orbit Round-trip Mun Mission Minmus Mission
Boson X
Discovered all the particles
Guns of Icarus
unfinished
Hammerwatch
unfinished

Ehhh... Just not very enticing, you know? And kinda too hard.
Monaco
AaaaaAAaaaAAAaaAAAAaAAAAA!!! A Reckless Disregard for Gravity
AaaaaAAaaaAAAaaAAAAaAAAAA!!! for the Awesome
Monument Valley
main campaign Forgotten Shores

Extremely Indie

(This section is kinda by nature going to be extremely incomplete; a lot of these games take like ten minutes to play, and often get forgotten. Talk to me and I'll recommend more, and just check out every game by porpentine.)

Extremely Memorable

Shadow of the Colossus
Hard Time Trials (Normal) Climbed the temple

I love this game so much I'm not even going to write about it. I'd say too much.
Ico
Ico was very pretty, and had some of the same qualities that Shadow of the Colossus had, but it didn't tie together nearly so well.
Mirror's Edge
Easy Test of Faith (Pacifist)

This game has the best platforming I've had the pleasure of experiencing - and I'm a sucker for good platforming.
El Shaddai
Normal

I loved this game from an aesthetic point of view, but I kept waiting for the story to get interesting. I'm still waiting.
Zeno Clash
The aesthetic really makes this game stand out.
Iji
Normal Somewhat Pacifist

Iji remains one of my favorite games of all time, for its excellent pseudo-morality system - one of the best I've seen.
Valkyrie Chronicles
Normal No deaths

Valkyrie Chronicles had such a cool gameplay and storytelling style that I have to include it.
No More Heroes
Mild All Beam Katanas

It's hard to describe this game. It was fascinating.
Elite Beat Agents
Sweatin'! Hard ROCK!

Probably my favorite rhythm game.
Silent Hill 2
Gave up In Water ending

As of September, 2013, this game is too scary for me. As of November, 2013, Glen and I finished it!
OFF
Batter ending Judge ending
Journey
White Cloak

The only game I've played or seen with such an emotionally powerful and compelling anonymous multiplayer experience.
Bastion
Both endings Altruist (all vigils) Mind Voyager (each trip to Who Knows Where)

Oh gosh this game. I loved it so much. Such a masterpiece of storytelling - two days after getting it I finished it, and two days later I finished my second playthrough. When I design games, this is what I try for - with maybe more female characters.
With Those We Love Alive

Forgotten and Probably Indie

Lugaru HD
Beat Hazard