BangMon

You play a silent protagonist wandering the world of BangMon with one job: catch every monster girl you meet. The tone is straightforward creature-collector parody, monster designs and bond mechanics played completely straight until the "bonding" turns explicit.

The loop mixes exploration, turn-based battles, and capture with story beats that push you toward the next area and the next creature. Catching a BangMon isn't the end of it, deepening that bond through repeated encounters is how the relationship and its scenes develop, so progress is as much about who you've grown close to as what you've caught. Individual trainers you meet along the way get their own art and outfits as the game expands, separate from the core catching loop.