Seriously folks, just learn one of those two, there is nothing new under the sun when it comes to text editors.
In Sublime you can select text with your mouse and on the right there is a graphical overview of the entire document.
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.
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...