Rdio is probably one of the bigger success stories for Xamarin/Mono
You can see a list here: https://xamarin.com/apps
mvc + mono website on linux success story - i haven't seen one.
On the bright side, I've heard good things coming out of ServiceStack. Apparently it shines in the backend web service department and works well with Mono. It's based on ASP.NET and since the requirements for my little project are fairly minimal, I think it's a bit overkill there. But it's still worth checking out for more demanding projects, IMHO.