Dany still has 99 problems. The Sons of the Harpy are still killing her people, including her handmaiden's brother, so she's retreating all her people into her pyramid and letting the Meereenese police themselves. I'm not sure that will end well.
Because she felt so guilty about one of her dragons probably having eaten a child, she's locked two of them in a dungeon but the other one has escaped. Not much point in being a dragon queen if you can't control your dragons.
Quaith pays Dany a visit by holographic conferencing. Dany doesn't understand the tech and thinks she is either dreaming or going mad. Quaithe speaks in riddles. I think the general gist is that Dany is going to be betrayed again, possibly by Renak. Also she is going to be visited by a bunch of dudes all wanting to marry her, and she shouldn't trust any of them. In fact, trust no one. Quaith is Mulder; now it all makes sense.
Even the local trades unions are kicking up a fuss because stone carving isn't a closed shop any more. Dany is forced to channel her inner Maggy Thatcher.
Hizdahr zo Loraq is still trying to get the fighting pits opened. He has some fighting slaves with him who want to be freelance fighters. It'll be like UFC but with actual deaths. Dany is quite rightly coming around to the idea that if that's what they want she has no business stopping them.
We get some Barristan Selmy backstory. He was booted out of the kingsguard by Joffrey after Robert was killed. He loitered around Kings Landing in disguise for a while and when he saw the Lannisters kill Ned Stark he realised he was best off out of it and he ought to find a real king to serve. Who ended up being Dany.