Hi Gibran,
I'll shorten your list a bit
: Typescript, JavaScript, and Dart. (AtScript has been merged into Typescript, and Babel is just a transpiler that allows us to use new JavaScript features even though the browsers haven't yet implemented them.)
Personally, I don't have experience with Dart (it seems nice, and having Google behind it is always a plus).
As for Typescript, I really like it and my last couple of projects are in Typescript. I find types immensely helpful; they help me catch stupid errors, ease the burden off my memory with code completion, and I can understand code more quickly. When developing larger applications, I'm more productive than with vanilla JavaScript.
For me, a great thing about Typescript is that it really is just JavaScript + types. In addition, if Typescript development stops for some reason, it would be fairly straightforward to develop a transpiler that would clean the Typescript fluff and leave you with pure ES6.
So for now, with a caveat that I still don't have long-lived projects developed in it, I would go with Typescript.
Josip