There are faster air-breathing aircraft (e.g. [0]), but none of them are manned because with modern technology there's no need to put a person in them, and the people funding these developments aren't interested in spending lots of money just to chase records.

There's also the outside possibility that faster manned aircraft exist, but remain classified [1].

[0] https://en.wikipedia.org/wiki/Boeing_X-51_Waverider [1] https://en.wikipedia.org/wiki/Aurora_(aircraft)