Okay, here's a rec for you all:
laceymcbain's
On the Couch, Or the Way Clouds Feel. Her summary? "Superman. Batman. The Flash. On my couch. I might never wash that leather again."
Go, read it. You don't need to be overly familiar with the fandom to enjoy it- just the basics. Lex Luthor=Bad, Justice League=Good. And Nicole Kidman=Psychiatrist.