Does yours read from the Bible? If they don't, what do they use as a reference? Is Jesus excluded from the UU church? I feel like that's what everyone says about UU churches but I've never gone. Fill me in.
Since they don't use the Bible as a primary reference, you could expect to hear about modern day activists, or a ministers reflections on Parenting, Grief or Charity. Or perhaps a discussion of censorship and it's influence on society. I've seen college professors speak about topics you might expect in a classroom as well as individual congregation members share their convictions during "This I Believe" speeches, which included on man's views on the value of junk... reusing or repairing that which had been discarded. I've particularly enjoyed altered traditions, such as "Flower Communion" at Easter, where everyone brings flowers and eventually leaves with different flowers, showing that we give and take from one another... fun and pretty and not full of Crucifixion images to freak my kids out...
I haven't heard anyone badmouth Jesus, but I get a sense they scoff at magical thinking and well, he's pretty magical, if you know what I mean. I'd be surprised if anyone made an issue out of it though... Unitarians accept others, that's kinda the point.
hope that helps