The game has huge dice pools and a lot of counting.
Any workable Supers system would be fine. You'd need to differentiate between the castes because of the differing power levels, but that's about it. As long as you can throw balance out of the window, then that's fine. I'm partial to PbtA for supers gaming, but as long as your system can handle supers, then that's all that matters.
A lot of systems wouldn't be good for Exalted. Anything that requires escalating dice pools is immediately out because Exalted already does that, and it's horrible that way. Now, if the dice escalate (like Free League's Twilight 2000 as compared to other Year Zero Engine games), then that is better than the numbers of dice going up.
Any game with too many talents to count (many flavors of D&D) also would be bad because it just becomes splatbook/build city... a nightmare for GMs.
The effects should be driven by players instead of some obscure definition in a splatbook.
It just reads as an un-usable book. I know rpg.net got crazy about it for a while, but it was a mess in my opinion.