The phrase "weird game" refers to a unique or unusual activity or situation that is different from what is typically expected or understood. Full definition
Last week, I got some sort of weird game music - related virus and made a list of my favorite video game tracks, then a list of my favorite battle themes. (toy-tma.com)
When he's not investigating weird game dev stories for his series Here's A Thing, he's likely playing some kind of turn - based strategy game. (eurogamer.net)