I've had a couple given to me, they didn't really stick, thank goodness, because they're both long and not very catchy.
The first came about because I would never stop playing a tune at rehearsal. Being that I still sucked, I was trying to make sure I remembered the best way to play a tune at the end so when the band stopped I just kept rehearsing a bit more. So a friend, gifted keyboardist and cellist who I still have the pleasure to play with, called me The Unstoppable Bass Monolith. Suuuper catchy, right? It actually hung around and still comes up from time to time, to the bewilderment of almost everyone who hears it.
In the 90's I was in a funk band the lead singer decided we all needed personas and stage names. His was pretty amazing: Booteo. Or maybe that should be spelled Bootyo, or Booty-Oh. Not sure, I never saw it written down. Anyway I think that is very clever and catchy. He was like a mix of 75% Prince and 25% Bootsy himself, very talented.
The name he and the drummer (Killer, which is his actual nickname from high school) gave me? Stu-thousand-on-the-one, a bass odyssey. Kinda makes Unstoppable Bass Monolith just roll off the tongue by comparison, doesn't it?
Thankfully none of these monstrosities has ever stuck in a meaningful way.