We have an x-men tag with the tag wiki
A film series of superhero films based on the Marvel Comics superhero team of the same name.
Even with having a tag wiki for the universe tag it is still being used inconsistently and doesn't even seem an appropriate name for the franchise tag as the first movie was called X-Men and as per our tagging policy x-men should belong to the first film only.
As we decided to tag movies/films/videos/shows of a given franchise with the associated franchise tag and following it for arrowverse, marvel-cinematic-universe , dc-extended-universe etc, why not also do it with the X-Men franchise? To do that we sure need a better suited name than x-men, so that the x-men tag can be spared for usage on questions about the X-Men's first film. Any suggestions are welcome.