Since I'm not mega familiar with top games from the past decade, I've decided to compile a list of mostly older games which left an impression on me & friends back when they were new or modern. Oh man, this was originally gonna be a short list, haha.
Advance Wars, Bangai-o Spirits, BioShock, Castlevania SotN, Crysis, Dark Souls, Demon's Souls, Duke Nukem 3D, Far Cry 4, FEZ, Final Fantasy 7 & 8, Goldeneye 007, Gradius V, Gran Turismo, GTA: San Andreas, Half-Life 1 & 2, HotD Overkill, ICO, Jet Set Radio, Lemmings, Metal Gear Solid 1-3, Metroid Prime, NFS: Hot Pursuit, Peggle, Perfect Dark, Phantasy Star Online, Qix, Radiant Silvergun, Resi Evil 1-4, Secret of Mana, Secret of Monkey Island, Shenmue, Sonic 2, Soul Calibur, Street Fighter II & IV, Super Bomberman, Syndicate, Tetris, The Last of Us, Time Crisis, Timesplitters, ThunderForce IV, Tomb Raider, Vandal Hearts, Vanquish, Wonder Boy 3, X-COM: Enemy Unknown, Zelda LttP. And finally most of the legendary Mario platformers; SMB 3, SM World, SM 64, SM Galaxy, Yoshi's Island.