There's a remaster of the first 2 games (Monster Rancher 1 & 2 DX) on Steam, Switch, iOS and release a couple years back.
MR2 has a huge competitive scene, with lots of community run tournaments. it's even going to be at Combo Breaker, a fairly large annual event/competition for fighting games!
There's a Spinoff/Crossover game "Ultra Kaiju Monster Rancher" released just over a year ago, where instead of traditional monsters, you raise giant Kaiju from the Ultraman franchise. (Switch only)
There's a Japanese only mobile gacha game LINE:Monster Farm that's hugely popular atm
The anime will always be superior, but even the games noticed it's more fun to actually take care of your monster friends since they put on all kinds of systems like making sandwiches, grooming, giving a bath, etc.
I hate it that Digimon is the monster taming franchise that has had the deepest mechanics about the actual taming part, yet they don't consistently try to polish them until a consistently good game comes out of it.