In a totally unrelated and purely coincidental move, Sony includes another Not-Pokemon game to the December PSN Plus free games catalog.
....
I assume that my only hope to get a game where you play as a tamer and you actually fight alongside the pets is to wait for some port of your random isekai manga with a very long name.
The usual "I died and was reincarnated as a tamer with S+ skills in a world where people capture monsters to fight"