Stealing yet another idea (like yesterday's), here's one inspired by Chris Sims' (of the ISB) post on "True Tales of the Core Marvel Universe". That's a series of entries on just how bizarre and absurd the Marvel Universe can really be if you stop to think about it. I read that and thought that surely the Legion's time (all of their timelines) must have some wackiness that we normally take for granted with our suspension of disbelief, but "when you put it that way...."
In the Legion's time, a boy from the 20th century spent 1000 years in isolation in a buffer zone, unable to communicate with the outside world. After he got out of isolation, a magically cloned younger version of himself went back in time to replace his 20th century self after the 20th century version got prematurely killed by an evil magician from the 30th century. In the Legion's time, a boy's mind was replaced by that of a sentient blob of protoplasm, yet his long-time girlfriend (who later became his wife) who was one of the greatest telepaths known, never knew. In the Legion's time, members of the team have included a teenager who created a monster to kill his teammates, someone who couldn't tell a bottle of soda from an experimental serum, an emo bag of sentient anti-energy, someone who later married his stalker, someone who ate a magic machine, and an energy creature whose favorite phrase was "poop-a-doop". In the Legion's time, they have their headquarters in the body of a dead alien.
What else do you have?