It's now possible to play Playstation games on Xperia play the first playstation certificated Android phone.
simply you need PS1 iso's that you want to play on your Xperia play, to make things legal please rip your own games that you actually bought.
you can always use the PlayStation emulator for Android but why not use a native app that support your sony hardware ;)
Download PSXperia Emulator
then follow this guide, I guess you also need the crash bandicoot original game that comes with your phone.
Example: Final fantasy 7 PlayStation iso running on Xperia play.