I have a rough idea and setting for a mature "Pocket Monster" game. It came about when I saw some whine from pokemon fans wanting mature content/storylines in the anime and games. I'll never get a team and budget for it anyway. Credit me as "some guy on Gaf", if you steal the idea.
In the background and setting Angels appear across the world to reveal that God willed himself out of existence, they then disappear. A confused world gets little time to grapple with the religious implications of what just happened because reality starts to fracture. Thousands of Gates to other dimensions or realms of existence open up across the world and their foul denizens start to spill over into ours. Gates are everywhere, in the air, on the seas, underground, even on the moon.
Most of the gates lead to hell worlds, so there's a brutal war where a united humanity retreats into rare gates leading to garden worlds (some with friendly natives). During the fighting it is noticed that certain individuals are untouchable by the monsters to the point where they avoid and are compelled not to hurt them. Such humans quickly become invaluable scouts. Later when one such person is busy beating a monster to death, the broken mass reveals its true name to him - Resulting in it becoming his servant. The news of this spreads and it becomes a powerful weapon for humanity.
A couple of decades later you as a young adult are about to be tested to see if you have the gift, it's a choice between three weakened & constrained monsters willing to divulge their true name. (stuff happens/this and that), then it's time to enter the fortified gate and visit old broken Earth, it's your new job to cull the herd and secure your home.
The player character is refereed to by many titles, such as untouchable, warlock or prophet.
It's basically a pokemon clone without cute friendly monsters and [almost] everything is gross and horrible, like Elder beings, aberrations, elementals, demons, undead, ghosts, tentacle monsters, xenomorphy aliens. Most, but not all come in male and female versions and some have wildly different sexual dimorphism. Certain monsters (like the starters) are intellgient with reasoning capablity, but it ranges from animal to super intelligence depending on race or sex. The objective is still the same, travel the area around the gate and visit research outposts to help them, enter and document new undiscovered gates, also grow & train your collection of bound monsters (well duh!).
While recent Pokemon games shied away from beating up Pokemons to catch them, here it's a key mechanic. With some bound monsters being more capable at breaking others when it's time to bind one you want.
Like Pokemon there's a limit to how many you can bring with you and how many you can store. Unwanted ones will cease to exist with the press of a button.
In the first game there will be two super rare monsters (the mewtwo's of the game), one fallen angel and a crystalized human soul, as teasers for the expansion/sequel, which takes place at one of the other gates with entirely new monsters to bind.
I don't like it, but if one is lazy, name the gates after mythological places like Elysium, Atlantis, Yushan, Alfheim etc.
Welp, that's the overly verbose elevator pitch.