Lara Croft Go

Yes, turn based to an extent. You swipe up/down/left/right to move one space on the path (you can see the path on the trailer if you look for it). The battles are the puzzles! The enemies in the early part are snakes and spinning blades. If you move into a space with a snake directly facing you, he'll kill you. So the early puzzles involve 'walking into' snakes from the side or from behind to kill them. Not very hard at all, but very satisfying.

There are some 'lets play' videos on youtube if you want to watch the start of the game. Don't watch too much or you'll spoil some of the surprises.