First PC and Amiga Game?
Hrm were going back a bit arn't we!
Ok hrm the first amiga game I ever played was "Indiana Jones and the last crusade" adventure. It came with my A500 Starter kit, that was followed in the same day by KickOff2 and F/a-18 Interceptor. All kicked ass in those days and as I only ever played a C64 before then well the amiga won my heart.
as for the PC the first game I had ever played on it was an old CGA game called Digger, it was a DrFruit clone and was a little BullDozer collecting gems.