Two 'lame' ideas = one awesome story?

Sure! Should these lame ideas be totally disparate with no obvious connections? Or does that even matter? How about something like...

A pasty white, 90-pound weakling nerd guy with taped glasses, sitting in his tidy whities and chatting online using a bleeding Thor avatar and the name Great-Hammer-of-Death!!

and

An arrogant cop writing a ticket to an elderly woman driver for not turning off her turn signal after changing lanes.

Go to tvtropes.org, and in the top right corner click the 'random' button. Some of them only apply to tv or manga, or only apply to story format or are offensive cliches, so skip those. OK, I got

'America Saves the Day' and 'Perky Female Minion [of a villain]'. That should do.

Or how bout 'Prehistoric Monster' and 'Undercover Model' (a cop or spy pretending to be a model). GENIUS I tell you!

'Just Add Pirates' (using pirates in an inappropriate setting, such as a mall), and a 'Snipe Hunt' (sending child or naive person to find something that doesn't exist).

Clumsy superhero and a karaoke contest at the county fair. ^_^
Or a cat that saves other cats from trees and local house-husband runs for mayor.

A grizzled veteran gladiator of the Coliseum and the receptionist for the Ghostbusters.

A home improvement centre, toilet salesman with bowel cancer (oh the irony!) in search of true love and a year-old tuna salad sandwich.

(Make a story out of THAT, I dares ya!)

Physical therapists who don't know anatomy and Olympic dressage riders whose horses have their own private train.

A talking camel and were-cacti.

The O.J. Simpson trial and 9/11.