Thanks to all who answer
General answer: Nobody knows, and there’s no way for anybody to know. Unless you happen to know a time traveler or own a time machine, in which case I’d like to ask a few questions 
Somewhat detailed answer: Even for fields that will always be needed, there’s no way to know the demand for them in even four years’ time, let alone the span of someone’s career. And with regards to certain fields being needed, you never know when something unexpected could become obsolete given how quickly technology moves these days. The best you can really do is choose a major you enjoy (or at the very least are good at) and build hard and soft skills throughout your life. That gives you transferable skills to use throughout your career regardless of the job market. And perhaps most importantly, remember that learning doesn’t stop after you leave school!
^^^ I completely agree. I mean, a few years ago people would look at cartography and geography majors and laugh at their choice of study, but look at how high there is a demand for them now that all cellular devices carry some sort of GPS format. Seeing as the market fluctuates so much, I’d focus most on what you have a passion for and adapt it to what future employers may want. For me, I decided to go against the grain and take English/International Relations instead of Econ, and I can say I’ve found a lot more success just through having a real passion for my courses and pushing myself into the workforce.
Whoever has the correct answer for the OP’s question, please also tell me the winners in the stock market.
If you could predict that, OP, you could make a lot of money as an educational consultant - since it’s a question that most colleges and universities would love to answer.
The other thing is that there are ‘hidden markets’ that most people don’t know about. The geographer mention above is a good example; your average person off the street probably wouldn’t know or even think about how geography is used in GPS systems. Linguistics is another one - people always talk about how ‘useless’ that is until someone mentions how important it is for natural language processing used in the personal assistants that pretty much every electronic gadget has these days. There are always going to be the sort of brand-name majors that everyone can identify as important (computer science, engineering, nursing, accounting) but the other fields of study that are less visible to the average person, but are equally as important and perhaps have a greater shortage because students stumble into them rather than dreaming about them or being led there.
I once heard a speaker say that the “top” jobs of tomorrow don’t even exist yet (in reference to how technology keeps changing our everyday lives).
Funeral homes and the IRS will always be hiring.
lol
Time machine repair & service person. “Because no one should be stuck in the 70’s”
It’s reasonable to expect, at least between now and 2100, human civilization to continue to develop (become more complex), the number of people in the world to increase, the interaction of people across borders to increase*, technologies to increase in number and sophistication, the affluence of the world generally to go up and the broad knowledge level of the average person in the world to rise.
The jobs people did in the 1850s and 1860s (e.g. as shown at http://www.slahs.org/history/local/business/occupation.htm and http://www.historicaltimekeepers.org/Research/Occupations-of-the-1860s) are, with few exceptions, still around to some greater or lesser degree, although now they are likely to be done differently and, in the cases of manufactured goods, in a global, rather than national, context.
Pharmaceuticals, advertising, communications using electronics, scientific research, the restaurant and convenience food industries and various entertainment industries I see have since burgeoned. What else do you see in today’s world that was missing or barely existing in 1850-1870? It’s reasonable to expect the fundamental trends to continue.
*Perhaps American workers will finally discover globalization and the value of working in third world countries that are seeking first world development.