'Midnight Run' (1988)

Apologies to the rest of the odd couples on this list, but there is no better mismatched pairing than Robert De Niro and Charles Grodin in 'Midnight Run.' De Niro is the Oscar of this twosome, the messy, broke and slovenly bounty hunter tasked with bringing a prissy and rich accountant (Grodin as a sorta Felix) to justice. If you aren't hip to 'Midnight Run,' watch Grodin flip out about flying. Bonus: a little surf 'n' turf action.