Most system engineering progams are offered at the masters level with the idea that one needs to have a foundation in one of the traditional engineering disciplines before moving on to systems. There are undergrad programs, though they are much rarer than the masters programs.
When I decided to go back to school, I looked at a study done by the Bureau of Labor that discussed employment feasibility for the next 15-20 years. Ten years ago computer engineering was the big thing, I'm not sure what it would be now. This study I found at a college library, I'm sure if you go to your local college, they will have a copy. Or look for one online. I'll poke around and see if I can find a more specific title for you.
I'm in engineering at Diablo... the predominant engineering types we have are electrical, mechanical and civil. I'm computer, in a small group that works on plant related computer systems.