Wow this shouldn't even be a question. All yo ucan do on a ds is play games. On a psp you can do loads of stuff, like play games, go on internet, download pictures,download movies, and download music. And I have both of them, so don't underestimate me! XD
I'd have to say it's a tie because The PSP has more features than the DS for example, it can hold music photos play games etc. Where as the Ds you only have a Gameboy Advance game, pictochat, download play, or regular ds gameplay and it has a touch screen. But, I'd have to say it's a tie srry.
Seems like more people dig the ds, well, its true, just look at all the games. A very wide selection. graphics doesnt really matter if the games are good!