Are there any new exchanges lately that I can purchase bitcoin from a bank account with in the US besides coinbase or Gemini?
Alternatively, has anyone ever been banned from the 2 aforementioned sites and then been allowed to use them again?
BitStamp recently got the BitLicense. So, if you are a resident in New York, you may try BitStamp.
The other exchange is Huobi USA. They also accept bank transfers as fiat deposits.
Since I am not in USA, I don't know much about the quality of their service for USA residents. However, I can recommend BitStamp as a non-USA resident as they have fast withdrawals and very good liquidity. I am yet to use Huobi even as a non-USA user. Therefore, cannot comment on them much.