There's gonna be a Leeds Zine Fest on 27th June at Brudenell Social Club. I don't know much about it, but the organiser, Katie is still looking for distros and zinesters to have tables (and I think she's still looking for bands to play afterwards too)
Email her at: email@example.com to get a table/state your interest!
More info here
[EDIT 25/5/10: I heard today that this event has now been cancelled]