Pretty much what Psychotic said. If I remember correctly, Anima likes to use Pain a lot, so when she kills your guys just revive them with Phoenix Downs and don't bother curing. Then when Anima's about to do her Overdrive, send out an aeon that you don't care much about and let her kill it. Just repeat that until she dies.

For the next Seymour after that, be sure to heal everyone and have Yuna cast the appropriate Nul spells. I think the rest is about the same as what you did to him before Anima.