There are many educational smartphone games for children, but few are accessible to blind children. We present BraillePlay, a suite of accessible games for smartphones that teach Braille character encodings to promote Braille literacy. The BraillePlay games are based on VBraille, a method for displaying Braille characters on a smartphone. BraillePlay includes four games of varying levels of difficulty: VBReader and VBWriter simulate Braille flashcards, and VBHangman and VBGhost incorporate Braille character identification and recall into word games. We evaluated BraillePlay with a longitudinal study in the wild with eight blind children. Through logged usage data and extensive interviews, we found that all but one participant were able to play the games independently and found them enjoyable. We also found evidence that some children learned Braille concepts. We distill implications for the design of games for blind children and discuss lessons learned.