Don't know about emacs, but vim has an (optional) gui.
>In Sublime you can select text with your mouse
And in vim - even in the console version in fact. It's useful being able to select text, scroll with the mouse wheel, etc in a terminal window, particularly if you're editing a file on a remote machine.
>and on the right there is a graphical overview of the entire document.
Depending on what 'graphical overview' means, it's almost a certainty that vim can do something similar. The only thing I can think of where that would not be the case is if you mean something like a thumbnail view of the whole document (can't see much use for that offhand, but maybe) [edit: I had a second look to see what you meant by that, and yeah it looks like that's one thing vim can't do].
Not sure if you're aware but it also has features like tabs, arbitrarily split screen, colouring (console version is limited to 256 colours unfortunately, not sure about gui [edit: gVim supports proper 24bit colours]) and numerous other features that you might only expect in a dedicated graphical application.
Having an (optional) gui is something "new". The parent post I was responding to asserted that there was nothing new in the editor space since emacs and vi.
I just opened vi on my machine and I was unable to select text. Maybe there's a way to get it to work... but in Sublime and other graphical editors it just works.
Thumbnail may have been a better word... Sublime has just that. I've found it useful when working on long files. But regardless, there are other features that a GUI enables, like code folding...
Seriously folks, just learn one of those two, there is nothing new under the sun when it comes to text editors.