Unreal Engine 2 would be from the period of UT 2k4 and Killing Floor.
AAA console PC titles also still use it I think the most "recent" ones would be Bioshock 1 and 2. https://www.unrealengine.com/showcase/bioshock-2
Since UE 2 was ported to IOS (Don't recall if it has an Android port also) it actually became quite popular both in porting old games and in making new ones since it's a bit more optimized and is considerably easier to use than UE 3/4.