1. Pannal (close to Harrogate - can take bus No. 36: http://www.harrogateanddistrict.co.uk/)
2. Weatherby racecourse
3. Leeds-Bradford airport
4. York racecourse (Saturdays)
5. Ripley (near the castle) - every fortnightly - check with locals
6. Rufforth (between Weatherby and York)
All on Sunday mornings. I think No. 1 is the best. It's located at the roundabout between A658 and A61. Opens April to October.
Bus in the UK, I would say as terrible on Sundays, due to reduced frequency and late start. So plan ahead if you need to take bus.


