or. Sign Up. See more of Top Free Games by logging into Facebook. Message this Page, learn about upcoming events and more. Log In. or. Sign Up. Not Now. Want to increase your Facebook fan engagement? Have you considered adding games to your Facebook page? Facebook games engage. Below are five games that we think would be interesting. Try a mini-competition on your Facebook Page and see how large of a response. Players get credits for successfully referring friends to join the game. Subscribe to Adweek Today! A well-designed game keeps your fans motivated to keep playing and reach the next level. The design reflects their brand: Profile Photo Contest This is probably one of the easiest ones to handle.