It's just the core Anarchy book and Chicago Chaos at this point. I can't speak to Chicago Chaos because it's one of the few Shadowrun books I don't have (yet).
There weren't any corrects or errata for the core Anarchy book, to my knowledge. There are some contradictions in the book but for me the bigger issue is gaps, things that weren't explained. I didn't pay close attention to the reviews so I don't know what they complained about. Things are playable as-is, and Gingivitis has added a lot of resources on his website (
https://www.surprisethreat.com/).
I've played Anarchy in a more traditional setup of having the GM be fairly central but leaving the players room to narrate and flex. It works perfectly fine that way. Some players aren't comfortable with too much agency and have to be slowly let off the leash before they realize the possibilities and the potential of a narrative system. Not everyone gets there. If it doesn't work for your group, don't sweat it. Play it your way.