X-Men: Apocalypse is set in the 1980s, so these three new mutant-themed games do have some basis in the movie.
On the Space Port Arcade site, you'll find a trio of games called Revenge of Hero X, Mutant Conquest, and Mutant All-Stars Track & Field. They're a pretty brilliant parody of vintage arcade games, combining hand-drawn poster art with lo-fi graphics.Mutant Conquest's poster clearly depicts the supervillain Apocalypse and his four mutant horsemen, so we're hoping someone mailed a copy to Oscar Isaac, who plays Apocalypse in the movie. He'd probably get a kick out of it.
(The game itself, by the way, is basically Pac-Man.)There were actually some real X-Men arcade games back in the '90s, so these are not far off.