Enhanced inventories is not crashing the game. Just removed it and it still crashes. And I think it also has nothing to do with NEI addons. Just updated it and still crashes.Better Chests is the one that adds chests that are more than chests right? If so then that is definitely not going in the pack. And yea, I'm sure people would LOVE it if I were to remove Bagginses; they'd totally be happy to lose their bags and anything they're storing in them...
Its some strange bug between NEI and Applied Energistics. I tried the latest version of both and still have the crash. When you start the client everything works fine but if you exit to menu and join a game again(local or server doesnt matter) it will crash. From what I understand from the code, seems like the recipe handlers get mixed up on the second time and it just goes nuts....
I would just ask help from the AE devs, they are in much better position to understand what is going on. Until its fixed, advise the players to restart client if they disconnect from a server or exit to the menu when playing single mode.