The biggest advantage of the Black DSi over the PSP is that it has more games which you can play on it. Both consoles features SD card fits which is a nice touch but the PSP is the only one that can play MP3 files making it much more friendly to users than the black DSi. Only the Black DSi has two screens while the PSP has just one screen like so many consoles that have gone befoe it. The biggest advantage the Black DSi has over the black DS is that it coems with two digital cameras for taking photos and videos which can be stored on the previously mentioned SD cards.