Both are extremely famous, both are entertaining and addictive, but who would have thought that they have anything to do with one another. After all, Fall out Boy is an American pop punk band from Wilmette, Illnois. The Simpsons is an American animated sitcom from Fox Broadcasting Company. 

Well turns out that the band was nameless for their first two shows. Whether it was out of appreciation for their audience or just desperation, the then- nameless band let the audience at the end of their second performance yell out their ideas for a name. 

One member suggested “Fall-out Boy” as a reference to the sidekick of Radioactive man from The Simpsons. The rest was history. But the connections don’t just end there; the band went on to perform the closing theme song for the 2009 Simpsons episode “Lisa the Drama Queen.” 

(Source)