From the ones you mentioned, I'd prioritize
Elfen Lied and
School Rumble (completely different shows obviously so it would depend on what you feel like watching ATM).
Claymore is very good for 18-20 episodes so I'd also consider it if you're looking for action and don't mind some gore/disfigurement.
Xam'd: Lost Memories is a series very similar to Eureka Seven, I found far superior.
Mai-Otome is fun but weaker than Mai-Hime.
Shigofumi is good as well but it's best parts are in the early episodes for me.
Also, since you made the effort of making an A-P list, the site has an option of comparing your's with other users. Check out
mine. I rate most of the stuff I finish so it might also give you some further hints.