There are a couple meetings like that in my neighborhood. Really simple. Like a Quaker Circle.
Also, most meetings I attend here in New York City close with the Serenity Prayer. It's usually left to the speaker or visiting group and 95% it's serenity. There are some "Lords Prayer groups" - it's more a neighborhood thing than anything else. But then, we're a bunch of atheists and anarchists here in NYC
-allan