Ludophobia
Ludophobia (from ludus, Latin for "game", and phóbos, Greek for "fear") is the fear of playing games. The fear often comes about due to complications, issues and bad luck while playing games. When playing, the players compete with each other, determining the winners and losers. Players are often disappointed when losing games, and get frustrated with their mistakes. These are common fear triggers. This fear is mostly experienced by young children and disappears by the teenage years.  

The anxiety is overcome by playing very simple games and working up slowly to the more complex ones.  Alternatively, coping skills come slowly but surely, by learning that losing is not necessarily bad luck, but merely the nature of the game.  

Talking about phobias here are some other weird ones; allthatsinteresting.com/weird-phobias