What non-engineering undergraduate degree has the best job prospects, with just a BS or BA, no higher degree required?
Econ or finance at Wharton or Harvard, you’ll get into ibanking on Wall Street easily.
Finance at top Universities, else I would say Accounting if you have enough credits to qualify for CPA test.
Do you consider computer science part of engineering? If not, that’s a good one. Or, If you like kids, and the idea of having a big impact on someone’s life, consider an education major.
For secondary education, you may need a subject major like English, math, history, etc. and whatever the state requires for high school teachers.
BSN (Bachelor of Science in Nursing) is a good option these days.
To be sure, though, a degree in many different disciplines can give you promising job prospects if you get the right experience while still in college. Language study can be useful for teaching or jobs with the State Department; philosophy can be good for think tanks; economics, statistics, and even political science can help in the consulting world.
Remember that you control your own education and your own skills. You can graduate with the same degree and major as a classmate but have vastly different experiences and vastly different career paths. For example, I am a political science major. Some of my classmates went to law school after college; some went into politics to work as staffers; some went into journalism; I went into consulting. Four years later, we all have completely different careers even though we graduated with the same major (and in some cases, the same concentration within that major!).
On the other side of that coin, you would be wise not to choose a major based on what you think your prospects will be four to six years in the future. After the 2008-09 crash, many highly talented, young businesspeople decided to go to law school instead of business school. The result was a crush of new lawyers from 2012-2014, making law jobs ridiculously competitive. Someone who decided to study law while in high school and entered undergraduate in 2005 then had a very tough time finding a job in law in 2012. Just putting it out there.