If you actually go online and read reader reviews or website reviews,The DS one is actually better.Sure the PSP one looks nicer.But looks can be deceiving.
As for problems with the Bleach games and unlocking and stuff, please go to GameFaqs.Please don't be lazy to check.
http://www.gamefaqs.com/search/index...&platform=1026
There,I even posted a link.The answers to all your Bleach gaming troubles are there.