(I'd still far prefer the US to China, and don't think either the US or China are perfect, but most China's regional governments seem to be really bad even in comparison to the national government.)
There have been a fair number of executions of local government officials.
It's much easier to make the case "corruption at the local level is really bad" vs. "the central government isn't corrupt" -- I'm just saying the local people are worse than the central government in a lot of ways.
The least corrupt entity is the PLA, which has the most power at the national level.
The most corrupt things are land sales, which are handled at the local level.
However, in Western China, non-Han seem to be treated better by the national government than by regional or local. Although the weird "Uighurs in Guantanamo" thing was just totally surreal (we essentially bribed China into supporting us in the Iraq war by letting them classify muslim semi-separatists as global jihadis, and thus cooperating with the Chinese government in detaining them)
Hu Jintao was in charge of Tibet during the troubles of 1989, his protege was then in charge of Tibet and took a harder line (confiscating Dalai Lama pictures), and then got promoted to xinjiang where he promptly started a get tough on islam campaign.
Tell me how the national government isn't involved again?
You'll find that a city like Shanghai or even Kunming are much better governed than the capital of Beijing due to strong local governments and less national government interference.