You control a kitten. You fall out the window and have to make your way back home. Solve some light puzzles, do cat things like knock stuff over and steal things, trip people up when theyre walking, pounce on birds, complete goals/tasks etc. in the process of getting back to your home.
Humm, CK3 mini is just a smaller version of the CK3i.
They both achieve the same thing and that's powering the DVD drive ;]