The PS Vita welcomes yet another port from Rinnegatamante and TheFlow0 in its library. After GTA Vice City and GTA San Andreas, the modders have announced that they have got Bully: Anniversary Edition working on Sony's handheld. As with GTA San Andreas, the Bully port is based on the Android version of the game and to get it working on your PS Vita, you will need to have your own copy of the game.
As the modders explain in the official GitHub release, the port works by loading the official Android ARMv7 executable in memory, resolving its imports with native functions and patching it in order to properly run. They also note that the game is likely to crash after a long gameplay session since the official game does not free unused textures given that the smartphones on which the Android version works have more RAM than the PS Vita.
You can find a full installation guide for Bully: Anniversary Edition on the PS Vita in the GitHub page linked below.