In the history of China, which dynasties were ruled by Han people?

Looking at the unified dynasty alone, except for the Yuan and Qing dynasties, they were all founded by the Han people. Li Shimin's mother of Emperor Taizong was Xianbei, but don't forget that many Xianbei people were of Han descent during the localization reform of Emperor Xiaowen. As Han Chinese, their emperor was allowed to have ethnic origin. Zhu Yuanzhang, the founder of the Ming Dynasty, was called Huihui by historians, and the word was "nonsense". First of all, the Yuan Dynasty divided people into four classes. After investigation, Comrade Zhu Yuanzhang was a poor peasant for three generations. This goes back to the early Yuan Dynasty, and his family was a poor peasant. Was there a poor peasant returning to China at that time? In addition, I don't know if there is any "Zhu" among the Hui people. I know the Hui people have some taboos?