In the beginning I want to mark that this is not a regular IDE vs IDE question, because Dart is still in it's infancy, and It's not about which is better but which is more recent.
There are only two decent Dart IDEs for now. Dart Editor and WebStorm. Which one has better feature-set for Dart development?
I know Dart Editor is made by people responsible for Dart language, but JetBrains(WebStorm) is much more mature and experienced.
Can anyone list the differences between those IDE's today?
from the official site
As of 1.11, Dart Editor is obsolete and no longer supported. We recommend using DartPad to play with Dart and WebStorm to develop with Dart. For more information, see the announcement.
Also from The present and future of editors and IDEs for Dart
Another option is the Eclipse plugin for Dart, which we continue to support. The Eclipse plugin, which currently shares most of its code with Dart Editor, is powered by the Dart Analysis Server.