If you are in the USA and you mean the Unitarian Universalist churches, read on. If not, please add a detail - which country you are in. There are Unitarians (without the Universlists) in the UK, and they are different.
Short answer: Yes, sort of, and not as often as the Catholics or Baptists do. Different congregations are involved with different things. Mine feeds the homeless, makes lunches for Habitat for Humanity crews and works for Marriage Equality.
Here are some web pages from UU church I go to in California. I'm the Web Master. The site is has better jokes than the national one. It isn't as comprehensive, though. They have 15,000 pages. We have 150.
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FAQ
http://www.stanuu.org/faq01.html
answers these questions:
Are you "the church that doesn't believe in anything"?
Will I be welcome?
Will I be welcome even if I'm gay or lesbian?
Will I be pressured to join or to be saved?
What goes on during the worship services?
Does your denomination have diverse beliefs?
How can an agnostic go to church?
Are you related to the Unity or Universal Life churches?
Is Unitarian Universalism a cult?
Did you ordain Carson Kressley, star of "Queer Eye for the Straight Guy"?
Where can I learn more?
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http://www.stanuu.org/oofs.html
is an order of service. Introduction:
Some people wonder what goes on in a typical Unitarian Universalist service. Here is a point-by-point list. Most UU congregations have most of these items most of the time, although probably not in this exact order. Our services usually take an hour and a quarter. We have: . . .
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http://www.stanuu.org/min_sermons.html
and
http://www.stanuu.org/guestser.html
are lists of sermons, with what our minister calls "Sermon Blurbs"; the title and a one-paragraph summary and teaser. Here is a sample:
Adventures of a UU Web Master
One-eyed, two-eyed, three-eyed and four-eyed geeks. Elly Mae at Redneck.com, who wanted "pitchers from the Bible". An underwear joke. Humbling questions. Spiritual growth. It is all here.
I didn't talk about God.
Here is another:
Does Science Have Anything To Say About God?
Dr. David Simons talks about physics and God.
He did talk about God. Be warned; Dr. Simons is one of those people you hear about when people say "It isn't rocket science". He is a retired rocket scientist. He writes at about the 14th grade level. Heck of a nice man, though. When he's talking over pizza and beer after a Buildings and Grounds Committee work party, he sounds just like one of the guys.
You can get an idea of what we talk about by reading the sermon blurbs. If one strikes your fancy, you can read the whole thing. There are two sets because our minister gives the sermon three times a month, and we have lay people the other one or two Sundays.
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The national site has a "Find a Congregation" page:
http://www.uua.org/aboutus/findcongregation/
The one nearest you should have a web site. You should look at it. Then visit the church in person. You may like it; you may not. I'd suggest attending at least two services, because they will vary all over the map, if they are anything like ours. If you are still interested, attend for a couple of months. No one will pressure you to join immediately. We don't do "Altar calls".