Can I use any PSP games on a PSP3003 handset?

Short version: Yes, but...

Long version: The model number indicates that this is the UK version of the console. PSP games are not region locked, so you should have no problem playing any PSP game on a PSP-3003. However, UMD movies are region locked, meaning you can only play UK-coded UMD movies on a PSP-3003. Also, most games will not multi-play with games of different regions. Finally, if you are not located in the UK, you may run into other compatibility issues (chargers plugs, wifi frequencies, etc).

So yes, it can play any PSP game, but if you are located outside of the UK, I would suggest doing enough research that you don't run into any issues with it down the road.

In case anyone is curious, here is the full list of model numbers and regions:

• x000: Japan
• x001: North America
• x002: Australia
• x003: UK
• x004: Europe
• x005: Korea
• x006: Hong Kong, Singapore
• x007: Taiwan
• x008: Russia
• x009: China