1. Live Validation form
LiveValidation is a small open source javascript library for making client-side validation quick, easy, and powerful.
Example Demo
http://livevalidation.com/examples
2. MooTools FormCheck
FormCheck is a class that allows you to perform different tests on form to validate them before submission.
Demo
http://mootools.floor.ch/en/labs/
3. ProtoForm
ProtoForm is an unltra lightweight, unobtrusive cross-browser and very easy to customize form validation + submit with Ajax based on prototype.js framework.
Demo
http://cssrevolt.com/upload/files/protoform/