How can you open up LimeWire from a school computer that has bess blocking and peer to peer blocking?
You should not, the filtering is there for a reason and if you attempt to bypass it you will most likely be violating policy which could lead to negative action being taken against you.
What anime chat sites will Bess allow you to access?
Typically not many; Bess, made by a Seattle-based software company called N2H2, reportedly is the most widely used content blocking program in American K-12 schools. The primary issue is you would need to install another potentially more dangerous program to create a bridge to over-pass the Bess program -- highly not recommended. There are reports (since 2001) that the software supports, if not enforces, censorship of certain sites; the school admin has complete control over…