I am going to steer away from recommending you a good game and instead I am going to recommend
something so horrible that you will never ever forget it,
Death Crimson.
Generally regarded as one of the worst games ever made, and one that has carried a cult and memetic status in the Japanese community, this on-rails shooter is truly something else, from its bizarre, dissonant BGM to its hilarious handheld camcorder opening sequence, its truly something to behold. The enemy graphics don't really resemble much of anything, the stages are some of the ugliest things you'll ever see, the entire game feels like a fever dream. I implore anyone who hasn't tried it to give it a shot or at least watch a video about it, it's just crazy in the best and worst way possible.
Perhaps more interesting is the fact that it later got a proper sequel for the Sega Dreamcast which is actually a very competent if forgettable title, and that the development studio still exists to this day and has collaborated with the development of titles such as Melty Blood (!)
Famously, Pop Team Epic parodied the game in one of their episodes, which I'll attach here.