As far as the game mechanics are concerned: the Go serie ? Also maybe https://play.google.com/store/apps/details?id=com.Arte.vanda... Vandals which comes close.

And Monument Valley which has similar game mechanics (you twist the environment around rather than make your way through it).

Regarding the ambiance: no idea :/.

But in the same vein, not on Android there is : Invisible Inc. https://store.steampowered.com/app/243970/Invisible_Inc/ and another game with a little girl and her invisible friend or something and it's turn based and tiled based and there's a back-in-time mechanic. Eh. I am useless.

Edit: https://store.steampowered.com/app/1433530/Bilal_Go/ Found out about that one. It even has Tomb Raider Go's tiles :).