What's my recommendation?
It's worth a watch. _Angel Beats!_ uses heavyweight parts without becoming overbearing. It's not particularly challenging despite looking risky.
I wouldn't watch it if you're in the middle of a deep depression, but it's a good pick, I think.
Further thoughts:
Tachibana is a tiny little thing, but it's amazing how threatening someone can be when you give them the _Terminator_ treatment of being slow but unhinderable.
An excellent choice, especially given that she gets rehabilitated (in the audience's eyes) later.