Hodgesons is big pub on Flemingate in Beverley.......next to Beverley Leisure Centre and opposite the entrace to the former Army Transport Museum.
Oberon is Last Friday of the month only as far as I know. Think the Kingston session is now defunct since Graham and Joe moved to Beverley. They now run one there on a Friday night in the Sun. The others are not ones that I usually go to so others will have to confirm those details. There is an open mike type thing at The Duke of Wellington? off Spring Bank on thursday nights, it used to be weekly and run by King Rollo and Keith Gaye but I think they are not doing it so often and there has been a change of Landlord recently so its probably worth ringing to check whats happening there. Will add more as it comes to mind.