Are you referring to any country/region/something in particular then, or was that not really implied by that first part of the OP? In countries like the US/Western Europe there are various valid concerns to discuss regarding higher education/degrees but not really on the same scale or in the same way as everywhere else. Mostly regarding accessibility and actual usefulness and costs of various degrees.
In the developed world I'd rather say there's a huge need for a more educated populace period, and all of the industry and economic possibilities for such a populace, rather than the "brain drain" some places still experience.
Another issue is that the population pyramids are really skewed for many developing nations (the Middle East is especially bad here and that's a geopolitical concern) compared to the developed world - there are far more younger people than older people and I would say it beats me how their lives are going to pan out and how that will go on a global scale, but we won't expect indefinite growth and expansion the same way it's been in the past to continue in the future.
Just the other day I had really grasped for the first time and pointed out in some thread here that I noticed there are like 120 million people aged 20-25 in China alone. That's insane sounding, though proportionally not even as bad as other nations, and China already has problems with social stratification and so on along with their general political/economic concerns, that'll continue to be one for them for a while I'd imagine.