There was that game that came just before Plunkbat which was closer to a Hunger Games vibe… where all the characters had bad hair. I forget the name.
There’s also ones which combine sport and killing, such as speedball (based on Rollerball I suspect) or Blood Bowl (which has the best back story for murder-sport that I know of… orcs find an NFL rulebook and get it mostly wrong.
Does it have to be a game, because I imagine you’d get more out of movies, etc… Rollerball again being the best.
Games like UT and apex Legends have some kinda story reason for the competition they’re all in… but it’s not very deep and is basically ‘just because’.
Then you have games like Mortal Combat which have huge amounts of backstory and lore… but it’s mostly all guff and basically “there’s a tournament” and sometime “there are evil ninja demons”.
Not really a game, but Highlander’s basic concept was kinda cool… get the powers of the people you defeat until only one all powerful person remains.