The games you find truly groundbreaking, original, awe-inspiring and memorable
Dominions 3 - huge scale, insane depth, fantastic synergy between magic, armies and artifacts. Rich, wonderful lore.
AI wars - the game has a true AI, also the asymmetric game design is both bold and innovative
Minecraft - I got bored by it, but Notch sure showed those corporate drones a thing about game design
Dwarf fortress - a true simulation, mind-boggling scale, maybe most ambitious game of all times
Tangle in the Web - interactive fiction from Andrew Plotkin, but of the finest quality. Storytelling at its best - text only
Fall from Heaven 2 (Civ4 mod) - the lore is just charming, the diversity in factions is awesome
Dreamweb - one of a kind atmosphere
Another World - quite an accomplishment when it was released, unique, mysterious
Dragontorc
Perihelion
Frozen Synapse
Chess - best abstract strategy ever