Many joined The French Foreign Legion. That's why Dien Bien Phu is referred to as "The Last Battle of The Waffen SS".
Quite a few ended up in Africa fighting with various merc groups.
Something like 60% of the legion was German at one point.
BTW, we also had a bunch of them for a while:
https://en.wikipedia.org/wiki/Lauri_T%C3%B6rni
Why not? Today we make silly movies portraying them all as cross eyed idiots, where Brad Pitt single handed takes out an entire battalion (without messing up his hair), but in reality these dudes were killers.
Albeit, the SS did take a serious nose dive in 44. They started to take anyone at that point.
Irony of ironies... I picked up a pair of Palladium boots which are a reproduction of the boot issued to the Legion 1947-1953. My pair was made in Vietnam.