PPSSPP is a really great psp emulator for Windows. It allows for custom controller configuration, including Xbox 360 PC controllers. It has HD display, it really has great resolution especially for a psp game emulator.
btw i feel this a good time to remind you guys that sea of thieves was made by rare, who also made DKC1-3 and DK64, alongside banjo kazooie and conker's bad fur day