I agree! All of the animation delays really add up. It takes about twenty seconds to get through the opening tutorial battle, and it's the same on every run, so you're just waiting for it to *end* already. There are so many small animations like this, it really slows everything down. That's my biggest gripe with this game.
Otherwise, it's very good! There is a lot of strategy to it, and quite a bit of luck. It's a lot of fun.