PSP Firmware 3.95 is now available to download, which makes a few minor changes to the system software. The changes include the ability to customise the controls when playing PS1 games, and the Remote Play quitting procedure has changes slightly allowing you to exit remote play mode by either shutting down the PS3 or leaving it on. See the changelog below:

Changelog:

• While playing PSone games on your PSP, you can now customize how the buttons are assigned by going to [Controller Settings] > [Assign Buttons] and select [Custom].
• You can now quit Remote Play and choose to turn off your PS3 or leave it on after quitting. This is useful if you are performing a download and want to quit Remote Play, but still want your download to continue on the PS3. Select [Quit and Turn Off the PS3 System] or [Quit Without Turning Off the PS3 System] from [Quit Remote Play] when you press the HOME button on the PSP system.