There's that Asian chick in Mirror's Edge

Chell in Portal looks pretty Latina to me (granted you pretty much never see her) but I don't think her origins are ever confirmed in the games. The actress she was modeled after is multiracial (Brazilian/Japanese).

Strategy games are the obvious easy way out because many of them allow you to play from several historical nations across the world. Even sci-fi strategy games are good this way (examples: CEO Nwabudake Morgan or Corazon Santiago in SMAC). Some strategy games are even set in specific parts of the world (Sengoku) or have expansions specifically devoted to them (CK2: Sword of Islam).