Ha. German.
Admittedly one of our instructors was American. And the other one was this super-polite, always-smiling Indonesian. Then there was a German guy who had watched too many US movies. Oh, that guy was ... it was all a bit hard to take seriously, to be honest. ^^
What is 'properly equipped'?
What is 'properly trained'?
What constitutes 'well disciplined'?
What are 'elite' troops?
It really all depends on the scenario we're talking about. Is this about a potential Russian invasion into Europe? Or another Western adventure into the jungles of Vietnam? Might have different requirements ...
Which is why "proper" equipment means that they basically would have everything at their disposal, so "suitable" choices can be made, flexibly for different scenarios. Everything modern weapon and support technology offers (and has some use) should, under perfect circumstances, be available.
Properly trained then means that they can use that equipment. It's unrealistic to expect that everyone can do everything, and to some sort of insane level of proficiency, but since those should be professional soldiers and not do anything else with their life and training shouldn't just be a few months but rather longer (and continuing whenever not in mission) there's got to be some expectations on that.
Getting reasonably proficient with rifles and such isn't all
that difficult (seriously, movies and novels always go on about how those "elite" soldiers dismantle their weapons quickly, but it's so stupidly easy - they're made to be that way after all! - that that's probably the least impressive thing one can do ^^) but training for specific tasks like, say, urban warfare is something else entirely. Some sort of squad-level training and then perhaps for larger formations would be necessary, too, instead of just training a bunch of individuals. Ideally.
"Well disciplined", well, give them a mission and they'll attempt to do it and stick to it, even when things go wrong. The "not stupid" part though should imply that they don't waste themselves on impossible goals that earn nothing. ^^
Elite, well, compared to the cannon fodder you use for mundane tasks, whatever they are. Guarding a fortified position (that'll then get bombed) or some random supply convoy behind your own lines (that'll then get bombed). That sort of thing you don't waste them on, of course.
Obviously, if we're just talking about wishlists, then there's no reason you can't wish for every soldier to be "elite" (which would make them normal but let's not play semantics). But it's a bit too unrealistic to believe, I'd say. ^^