http://www.biwascheme.org/
http://sisc-scheme.org/sisc-online.php
http://lisperator.net/slip/
http://alex.nisnevich.com/ecmachine/
But the parent is really the right answer -- ClojureScript is actually targeted at meeting modern web development challenges and has a thriving ecosystem of powerful tools for the same.
Pure Lisp, compiled for the user's browser and OS. No Javascript anywhere.
<script src="biwascheme.js"> (console-log "Hello, world!") </script>
I would like to know how to implement and deploy a scripting engine that has no dependencies on Javascript whatsoever.