my analog stick just broke...how can i fix it

http://www.pspworld.co.uk/product_details.php?item_id=212 stuff along those lines. Just get a screwdriver and rip oot the old one. and pop a new one on insteadHandheldJunkie

http://store.richspsxparts.com/pspanstasre.html

You'll need one of those, and you will have to remove the faceplate by unscrewing your PSP, and switching that out in place of the broken one.