You want a web site to check your web site for javascript compatibility? How would you expect it to know how to exercise your interface to trigger the proper interactions? Or are you thinking of it doing some sort of static code analysis? I think you are better off coding against a framework that has solved most of the browser-dependent idiosyncrasies and using it to check for browser capabilities before you use them. jQuery, MooTools, Prototype/Scriptaculous, etc. go a long way in solving these problems for javascript.
Note that you still need to worry about rendering your site, but you already have several answers for how to go about doing that based on web sites. Personally, I just maintain IE/Safari/FF/Opera/Chrome on my workstation and do significant checking in IE/FF and basic checking in Safari/Opera/Chrome.