At the present time there is no booked 333 working between Leeds and Doncaster. Very occasionally they will pop up on the service if there's some sort of disruption but it's pretty unusual.
However, good news, in the future once Northern's new fleet of 331s is in service on the Yorkshire Triangle all Leeds - Doncaster services will be 333s.
In the meantime please enjoy this preview of what it might be like:
YouTube video of 333 leaving Doncaster for Leeds in passenger service.