Interesting take on a virtual pet. The airbrushed art looks amazing. It probably took your artist a long time to draw all that.
I'd love to know more about the world these creatures inhabit and how they all relate to each other. Maybe see some animations with more than one type of creature on-screen together at the same time.
I think it would be cute if clicking the center of the card played a "pet" animation, where the player's human hand pets the creature.
Oh, and it goes without saying, but every animation needs to loop back around to the starting frame. But that's just a basic principle of game animation; I'm sure you knew that already. Should be easy to tweak in... I don't know... Live2D, or whatever program your animator used.
Oh! And you should definitely program more involved mini-games that use the pet's stats in novel yet consistent ways!
Good luck! :)