Paraenby is the closest result. It's a mostly non-binary identity, but it doesn't specify whether there are one or many other genders.

It's important to note that this page is outdated and lacks resources, so make sure to do external research if you plan on seriously using this label.

I'm an editor, so I'll edit paraenby right now and put other paragenders on my pages-to-edit list.

Update: I don't think I can do it... :-(

Yeah, you can use as many labels as you want. Do you want a specific one that encompasses non-binary and others? :3