Only two types really matter.

Elemental attack is by far the best one. If the description doesn't read "character attack" then it's good.
Failing that, HP is okay. These are always character attack, but oh well.

So, Amphisbaena, Reiki and Thunderbird are your only good ones. Jack Frost would be good, but yours isn't leveled. And put Yatagarasu up, better than nothing.