Check out the engineering page on Wikipedia:
Portal:Engineering - Wikipedia, the free encyclopedia
It breaks out the major disciplines.
Here's another suggestion... consider studying physics as an undergrad, and consider going to a large school that has research groups in lots of different areas of Physics and Engineering. As an undergrad, you'll get some exposure to different things that are out there.
As for studying Physics vs. Engineering, the reason I did that was to keep my options open after graduating (since I knew I wanted to be in the space industry, but I was worried about being "locked in"). In the decade+ since I graduated, I've had zero regrets and have done lots of different things such as controlling satellites, software engineering/development and even running my own retail store. :)
Good luck!
-Adeena