I just bought the game so I didn't have to live through the bad launch but I will share my first impression.
Overall I am happy with the game and it seems like a big improvement over the last 2 games but I am not sure it will be a classic like Rome 1. Time will tell.
Things I like in no particular order.
1) Happiness management is improved. I find the new system really easy to manage and understand quickly.
2) Graphics and animations look great.
3) The province system works really well. It is easy to manage, makes sense, and is fun strategically.
4) The changes made in Empire and Shogun 2 seem more polished and effective for the most part. This includes the tech tree, replacing barbarians with named groups, no more armies with 5+ family members with over powered cavalry, etc. Rome 1 was a great game but I appreciate CA's attempt to add depth and update the graphics even if their decisions don't always pan out. I think they are getting better and headed in the right direction.
5) Limited Generals make the game more interesting IMO.
The game is far from perfect but none of the games have been. I have no problem with the DLC because I feel like I got a lot for my money with the Emperor's Edition. I am sorry people paid to beta test it but at least it isn't a subscription game.