If you want a more pokemon style gameplay but without the endless tutorials and halfbaked npcs that won't shut up then your best bet is minecraft with the cobblemon mod, there's also companion mods that let you pet them or will give wild pokemon a wider variety of behaviors like running away or attacking you, it's also compatible with biomes o plenty (and other stuff too) so you can have more fantastical locations.
If you want monster tamers in general that aren't pokemon and aren't digimon or whatever popular indie poke-clones have been coming out the past few years:
>monster rancher
First one on the playstation (I think the second too but can't remember) had a cool mechanic where you could insert any cd to generate a monster, a remake was released on switch and replaced the cd thing with a music library but I never picked it up to see how that worked, might be more fun emulating the original and seeing what your own stuff gives you. Regardless, you raise monsters until they die or you freeze/fuse them for the tournament circuit and try to become a champion
>viva piñata
Chill garden/zoo building simulator where you try to attract, raise, and breed a variety of piñata animals. What shows up depends on what you put in your garden and once they're there you build habits for them, some will fight/hunt each other so you need to manage populations, and sometimes bad piñatas show up. Otherwise not really any combat, you're just trying to get rarer piñatas.
>fossil fighters
Dig up fossil bits, clean them, and combine them to make dinos you use to fight other dinos.
>Spectrobes
Picked it up, never got around to it, but it's apparently fossil fighters in space by disney so it's either going to be a lot of fun or it'll really suck.
