I thought I might have thrown people off a little bit, but turns out X-COM: Enemy Unknown is just as memorable as ever. Casual Prolix correctly spotted the box and cursor from the game (it was reused in XCOM's underwater sequel, Terror From The Deep, however). Claymore35 correctly picked Enemy Unknown, but I'm happy to give the award to both.
But it's a new day, and that means a new game. Let's see how you all go.