I just boxed up my PS2 and PSP to send off to Gazelle. I’m not getting much money for them, but that’s fine — I’m really just looking to keep them out of the landfill. I think I’ve had the PS2 since 2000, and the PSP since 2005, so I’ve certainly kept them long enough.
I can still play all my PS2 games on my PS3, but I’m looking to get rid of all my UMD-format PSP games now. (I even have a couple of UMD movies. No one seems to be interested in those at all.)
I’ve gotten rid of a couple of the games via Swaptree, generally in exchange for a book or CD. I may throw the rest of them on eBay at some point and see if they sell.