[justinbmeyer]

For fast fix:

http://bitovi.com/blog/2012/04/faster-jquery-event-fix.html

There's a JS benchmark.

For styles, there's a demo: http://donejs.com/docs.html#!jQuery.styles

comparing jQuery's height vs one implemented with reading multiple properties. I can get a benchmark for this soon.

As far as animate, that's tricky. There's nothing to measure but framerate I suppose. It does in fact use CSS animations and if you assume they are faster (which what's the point if not) ... then you can assume animate is faster.