Illustration, it's more broad range and can encompass the others you listed. Just keep in mind that even though you get these degrees, there's a lot more work after that - interning, working an entry level job, etc - and this is a highly competitive market. There's so many "lifers" that it might be another 20-30 years before the job you want actually opens up.
Don't let that discourage you though, start small. None of the contractors are going to hire you for a project right out of college, it's too much of a risk for them. You'll be doing jobs that pay low, are hard to screw up, and are temporary - but in the end you'll be able to say you worked on it.
Most of the people I know in the business started on the graphics side then moved to drafting/3D visualization, and now work for contractor firms and will likely never work for Universal Creative themselves again. Think of Universal Creative as the director of a film - they know what they want, but without an experienced crew (contractors), they likely can't do a big budget project.