I would highly recommend the Logitech PlayGear Pocket.
Overview
The Logitech PlayGear Pocket is protective polycarbonate armour for your PSP. This portable case is packed with versatile features and an innovative design that gives you full control.
Got game? The shoulder triggers are fully accessible without having to remove your PSP from the case.
Need some privacy? The convenient headphone access port means you can plug in a set of Logitech PlayGear Stealth or other earphones* and listen to your favorite tunes on the go.
Seeing is believing. The adjustable 270-degree lid doubles as a sun visor to cut down on distracting outdoor glare. Or use it as a stand so you can view movies and photos hands-free.
Anyway you choose, PlayGear Pocket has you covered! Simply close the lid to safely stow your PSP, and you´re instantly back on the move.
Features
* Virtually indestructible polycarbonate armor shell protects your device
* Easy access to shoulder controls means your PSP is playable even while inside the case
* Headphone* port means you can plug into some tunes, then stow them in your backpack
* 270-degree adjustable lid can be used as a sunshield for gaming or a stand for watching movies
* Secure snap closure means your investment stays put
* 2-year limited warranty
