Lots of great suggestions from others already, so I’ll add some for when she’s a bit older. I’d say when she grows up the Tomb Raider series would be great for her to play if you want a good female protagonist. And it may be too raunchy of a recommendation for a daughter, but if you want another good female protagonist I’d suggest Lolipop Chainsaw, a great game for when she becomes a teen if she keeps up the hobby. :)