Callbacks are in no way "this generation's goto", they do not in any way inhibit the ability to analyse or prove correct a program, and all alternatives to callbacks amount to incredibly fancy syntax sugar for hiding what is really happening behind the scenes anyway.
A callback is a function call, or put another way, a specification of an exact set of arguments grouped in a formal specification that is sent to a deterministic little machine (the function) to execute immediately. On completion the machine will provably produce the result it promised to return in its owner's manual (i.e. the declared return code).
None of this is "goto" in any way. In goto land, without knowing the exact set of inputs a program receives and whole-system simulation, it is utterly impossible to make assumptions about even the most minimal pieces of state in the program at any given moment.
Contrast to a function call. A function call is a fixed guarantee about the state of the system at the point a machine begins executing. Furthermore a function call has a vastly restricted set of valid behaviours: at some point it must terminate, and prior to termination, update the system state (stack) to include its return value. And upon termination, result in the calling machine to resume operation.
All this syntax sugar shit is whack. Great, you typed 24 characters instead of 3 lines to declare a lambda. Hyper productive, go you. How does this progress toward the point where I can say "computer, make me a coffee!"?
If you're genuinely interested in what this generation's Goto might look like, take 30 minutes to watch http://vimeo.com/71278954 .. our UIs are utterly trapped in pre-1970s thinking, our communication networks are so utterly idiotic that we STILL have to write custom code to link disparate chunks of data and logic together, we're STILL writing goddamned function calls in a freaking text editor (something that was solved LONG ago). All the things like this.
I can't ask my computer to make me a cup of coffee, and it responds. I can't describe in restricted English a simple query problem and have the millions of idle machines around the world coordinate meaningfully to answer my question (and our best chances of this.. freebase.com.. got bought up by Google and left to rot as some vestigial appendage of their antispam dept no doubt).
Computing is in a sad state today, but not because of fucking callbacks. It's in a sad state today because we're still thinking about problems on this level at all.
Node.js wasn't an innovation. It was shit that was solved 60 years ago. I wish more people would understand this. Nothing improves if we all start typing 'await' instead of defining callbacks.
Innovation in our industry has been glacial since at least the early 90s.
Edit: and as a final note, I wholeheartedly welcome you to nitpick the hell out my rant, wax verbose on the definitions of provability, the concept of a stack, the use of English versus American language, why Vim is awesome, and in the process once more demonstrate the amoeba-like mentality 90% of our industry is trapped in.
Go and build a programming language your Mom can use. Preferably by talking to her computer. Please, just don't waste it on any more of this insanity.