Cat

A mix. Some cast the cat as someone to look after, some let you play as one causing trouble, and others use cats as pieces in a merging or management puzzle. The animal is the theme rather than the genre.

Bad Cat Prankster - Mom's Return, comfortably. You play the cat and the house is the target, with a returning owner as your deadline.

Kitty Cat Merge is the calmest, since merging puzzles run at whatever pace you set. Cat Rescue is gentle too, though it has actual objectives to work through.

A management game where you run a pet operation rather than play as an animal. It ticks along on its own, so it suits leaving open in a tab and checking back on rather than concentrating hard.

Yes. Every game under this tag plays free in your browser, with nothing to install and no account needed before you start.