Fallout and Terminator. Fallout already has robots and AI, so if you stretch the established dates of Terminator it wouldn't be that implausable to say Skynet only developed some time after the nukes fell. Or say that Fallout is set in a world were the humans destroyed skynet as a unified force but never managed to rebuild society.
Terminator and Alien. Remove the plamsa weapons from Terminator it it establishes a perfect reason for why humans in Alien started to explore and colonize other planets. Skynets AI could form the bases for the human robots of Alien.
Any crime games (GTA/Saints Row/etc..)
Any WW2 game, modern combat game, future combat game.