This site, threehosts.com, promotes several well known hosting solutions like Bluehost.com (which is actually what hosts this site). They’ve also put together a list of good looking Moodle sites that are presumably hosted by one of their affiliates (if these are hosted by a Partner or self-hosted let me know).
In any case it’s a solid looking group of Moodle sites if you’re looking for examples of modern looking, aesthetically pleasing sites. Check out the list at http://www.threehosts.com/ratings/examples-sites/moodle-showcase.html.
My favorites are