I've played to the safari zone so far. The following are the issues I've run into so far:
The team page really needs to be revamped. Even at full screen I can't see a whole pokemon. Makes it difficult to discard low quality legendaries.
It would also be nice if you could have an option for the auto team to choose the highest quality with the best evs rather than caring about the level.
The auto battle should continue when looking at other screens.
The rocket game corner is completely worthless. You earn far more from battling, and the prizes are something you can easily get with pokeballs. If you do happen to want a prize it is far better just to buy enough coins than to play the slots.
There are some spots where tooltips are not on the front layer, which kind of makes them useless.
I also can not figure out how to use evolution stones... Though I now capture enough pokemon that I can just catch the higher evolutions now.