Currently, I'm using AjaxPro Framework (http://www.ajaxpro.info/) to call any methods in my web application from the client side.
But users have some serious problems using it. (e.g success callbacks don't work in Chrome. More info about the problems could be found at: AjaxPro is working locally, but on server I am getting .ashx errors)
I'd like to replace it with a framework that can:
Is there any other Ajax framework which has the AjaxPro functionality?
I believe you have a fair choice.
Look at http://ajaxpatterns.org/DotNet_Ajax_Frameworks#Lists
At my new job we're using ajaxpro, however I also have come across issues and am currently researching alternatives.