I'm asking you because you're smart enough to use LLBLGen, OK?
First, I'm not as concerned at the moment about AJAX per se - that is, using XmlHttpRequest to eliminate postbacks. That's a separate issue to me.
I AM interested in knowing what UI libraries you LLBLGen'ers are using for animations, popups, positioning, style, opacity, rounded-corners, and general UI coolness, er, usability.
I have been using mootools (http://mootools.net/) over the past several months and it's pretty impressive. CNET.com (http://clientside.cnet.com/) has a more extensive library based on mootools.
Now I COULD just use ASP.NET AJAX, but my gut feeling is that it isn't as mature as some of these other frameworks in the effects department. And the whole control extenders thing is cool but hems you into using <asp: Panel /> controls all over the place, which I don't want to do.
What are you using?
(edit) I'm also concerned about supporting Firefox and Safari - another reason I'm not sure about ASP.NET AJAX.