PPSSPP is an early prototype PSP emulator for Android and other platforms.
PPSSPP is still in its very early stages and does not run many games. It's provided here if you want to try it, so that you can automatically receive updates over time - over time this will probably become a usable emulator.
Please go to http://www.ppsspp.org for more information.
IMPORTANT: Please do not give bad reviews due to low compatibility. It takes time.
NOTE: No games are included with this download, you will have to dump your own PSP games and turn them into .ISO or .CSO files, or simply play free homebrew games, which are available online.