There are many there, I am sure that when you find Google the words "mvc 4 hosting" will appear. But here is a couple that I tried in the past, and was reliable when I posted my sites with them:
If you are looking for cloud-based, Azure-like hosting, you can check the following:
In addition, if you intend to use shared hosting, it is important that you have those that allow you to fully trust your site. Many of them ran into problems with their host providers when their sites were not fully trusted, and this either led to an unstable site or didn’t work at all.