I've been using both Photoshop and Illustrator since the early 90's, and they take care of pretty much everything I need to do as far as processing images goes, and creating separations. Also for cleaning up stuff that we can't get better files for. Corel of course, has been around for a very long time too, but as a Mac user, I haven't used it, not to mention that I haven't received a Corel Draw file in years. That's not a dig against Draw at all, as I've seen some great work with it, and a lot of the folks here use it and seem quite pleased...
Steve