Until recently Zen were hosting my blog and my website (which has now been taken down because I am lazy)
their service is very well run and if you are a Zen customer might make sense although they are relatively expensive, I used their Bronze package for 4.79/month.
@matt9 : During the last few summers I usually pay for a Minecraft server for my kids to run, I do all the geeky stuff but they admin it, etc. I have had very good experiences with
Nitrous Networks - they have servers on both sides of the Atlantic, decent responsive Tech Support, no bandwidth issues I have ever encountered you can sometimes find discount codes. They also give you a free Mumble server to go with your gaming server. Their remote management console and backup system works well - I paid for the basic server but usually end up heavily modifying the configuration and even uploaded my own custom server config and they didn't seem to mind at all. 2016 was the third year I have used them, and will do again.
Chunks