Based on the previews for Battleship, I think I can safely say that more Hollywood movies ought to be modeled on 80's board games. Here are some ideas that I think are worth exploring. I'm following the Battleship paradigm by assuming that any time plastic pegs are involved, they are aliens.

Mastermind

Nothing could be better suited for an alien vs. earth blockbuster than this nail biting logic game. Five different aliens ally to overthrow earth and take its resources for their own selfish uses. The UN quickly assembles a special committee, known as the MasterMinds. They must use their brilliance to determine the configuration of the alien ships in order to successfully mount a defense.

Trivial Pursuit

The aliens, pie shaped creatures that fly 6 to a pod, have infiltrated Earth via dogs. As dog owners around the US start noticing their dogs acting strangely, it falls to Cesar Millan to determine, by observation, which dogs are aliens and which are just stupid. This feel good alien invasion comedy relies on knowledge of "trivial" details. Get it? Trivial?

Twister

Aliens whose flexibility is matched only by their cunning are attempting to take over Congress by impersonating high class escorts. They implant mind control devices during intercourse. Their ultimate goal? To kill all women so that in the future, humankind becomes an alien human hybrid.

Connect 4

These aliens exist in a strange state called quadruples. Without three other aliens holding their hands, they are helpless. At first the US military tries to destroy them. But then they realize that a 4x4 is a better state, and mandate all marriages to be between an alien, an alien, an alien, and an alien.