I run https://minimalreader.com/ on Digital Ocean. They do have moments of downtime every now and then, the most severe being 12 hours of severe network issues back in October 2013. Since then, I have rarely had issues with my Droplets in the NYC datacenters.

You can see their status page for all of the issues they've reported: https://status.digitalocean.com/ (mostly network connectivity issues)

Feel free get in touch (email in profile) if you want to talk more about my experience with DO and how I try to architect around their network issues.