https://en.wikipedia.org/wiki/Sorbet
https://en.wikipedia.org/wiki/Sorbetes
https://en.wikipedia.org/wiki/Sherbet_(frozen_dessert) (This one has dairy, so it's just a bonus)
I think most of them are technically sorbets, unless they're made with coconut milk (then they're sorbetes). I don't know if that's accurate, but it's a good enough answer for me tbh