well at least i managed to find the names of the characters.
The other one i saw was about a boy who had an argument with his best friend who came from the same orphanage as him , then they get transported with a few classmates to another world where there are giant bugs.
The argument was over a kendo tournament.
see if you can find that anime! i remember no names!
I know another one - if you really want to find it.
there is a rose princess, and she is engaged to a girl, and she keeps having to fight the guys in the schools council over her. They also wear wierd rings.
Revolutionary girl Utena!