Thank you!
It's Granblue Fantasy. This game has feature when you can interact with all the characters you've obtained in special days (valentine, white day, etc), though you're playing as a silent protagonist so there's a minimum amount of actual interaction.
Oh yeah @Nahrenne, the cat is actually not a cat but dragon! There are six and each of them transformed into the available races in the game, but this one chose a cat.
A part of the description says this, "Refusing to turn into a common mortal, Ewiyar settled on the form of a creature loved and worshipped by all mortals."