Earlier this month the PPSSPP team released a big update of version 1.0 of their PSP Emulator.. Since that release of v1.0 there has been several bugs the update caused and the developer's have been hard at work correcting those bugs and pushing the PPSSPP v1.01 update out today that fixes many of these minor issues the last update caused. This emulator runs on many platforms such as Android, IOS, Windows and even more platforms that you can checkout here on their official download page.

PPSSPP2

PPSSPP: Multi-Platform PSP Emulator

PPSSPP 1.0.1 is out! (February 26, 2015)
1.0 shipped with broken scrolling in the savestate list, that and a few other small bugs are now fixed in 1.0.1.
•Bugfixes like the save state scroll issue, cosmetic issues like overscroll
•Some cheat code bugfixes
•Adler32 and Mersenne Twister modules added (fixes some obscure games)
•Fix for Jak & Daxter slowdown
•Graphics hack for Phantasy Star Portable 2 for Direct3D9
•Fix compatibility with some PowerVR devices broken since v0.9.5-959-g4998044

http://ppsspp.org/downloads.html