At my job, I operate a six color (CMYKWW) nozzle-jet printer to add images to cell phone cases. Images for print are set up initially in Adobe Illustrator, generally by others, though they sometimes come to me with AI questions since I am the most knowledgeable with it in the production department. I use it to quickly correct artwork that has been sent in and almost but doesn't quite meet our specs. I also use it to set up templates for new phone / MP3 player cases.
Motion Graphics Designer for Television. I use Illustrator for logos and a few of my more graphic elements. I'll also use illustrator to build something that has curves or base elements that I can build the shape better in illustrator then take into photoshop to use the raster filter there.
I work for a sign making company, so vector is our thing for most of the work we do. We use CorelDRAW instead of Illustrator...dunno why, but the majority of signwriters seem to use Corel...I think it has to do with the plotter software that works with it Whatever the reason I've grown fond of Corel and just adore vector work, even if I do still have heaps to learn
Graphic artist for television, and sometimes print and web. Use it a load in print, but only once and a while in television depending on the look I'm going for. Sadly our timeframe don't often allow for much vector work either - they take more time to create than finding a stock photo!
I use Illustrator and InDesign (which has some limited vector abilities) quite often in my job as a Visual Information Specialist (GS series 1084; see www.opm.gov for details). I am a civilian working for the U.S. Navy. I am also a freelance illustrator and use vectors in some of my digital art. I also use Photoshop (which also has some limited vector-like tools, although the output is almost always raster). I'm somewhat familiar with CorelDRAW, though it's been quite a while since I've used it (version 9, I believe).