Except what was in mentioned tutorial, what helped me was:
- upgrade global / local eslint to latest version
- install babel-eslint locally
- if you are using any eslint plugins, it appears they must be also installed locally (eslint-plugin-react in my case)
- as Dalgard mentioned you can also enable debug mode in Sublime eslint to find out what else can be wrong, i.e. incompatible versions or corrupted config.
I hope some of this will help.