Games like Fin Fin: On Teo, the Magic Planet

If you finished Fin Fin: On Teo, the Magic Planet, the closest matches are Yu-Gi-Oh! Master Duel, Neopets Browser, Muumit meren aalloilla, Kupu!! Mamegoma! and Virtual Pet Elephant. All 7 share its point-and-click genre and are ranked by how closely their themes and modes overlap.