Are you able to travel to the US with a DUI and/or Dangerous Driving offense?

I'm guessing you're trying to come into the US from a foreign country? The immigration paperwork that you fill out and sign during the flight asks if you have been convicted of a felony but it's more of a formality. There is no way that the US can verify the information provided by every tourist that comes to the US. These offenses that you listed doesn't not constitute a danger to national security especially if you're a tourist. Don't worry about it and don't cause trouble while in the US.