Sure, not a problem. I'll just give a quick run through all of the steps.
The first thing I did, as I mentioned, was uninstall CorelDRAW 8 and CorelDRAW 10 via the Windows Add/Remove Programs tool.
Once this was finished, I opened up the Start Menu, clicked run, and ran 'regedit' to open up the Registry Editor. As a safety measure, I exported a copy of the entire registry as a backup. Better safe than sorry!
I left it sitting on My Computer, and went to 'Edit -> Find...' (CTRL-F), typing in 'Corel' as the string to search for. I looked for Keys, Values, and Data, and did NOT match the case.
I let it find the first key. I checked to make sure it only had references to Corel and not some vital Windows sytem files (there are only a few that do, and I'll let you know how I identified them), and once I was sure it was, I right-clicked on the key and chose delete, removing the key completely.
I continued to do this for the (probably) hundreds of keys it pulled up. The only ones that you need to maybe keep an eye out for are the file extension associations (which will have keys named a, b, c, d, and so on). Make sure you only delete the Corel references... although, it won't be the end of the world if you delete the others (you'll just have to reassociate the key). Oh, when you hit all of the fonts, make sure you're deleting the Corel fonts and not the ones associated with WINNT. Since I stopped using Find... for this section (since 19/20 keys were Corel), I just made sure to look and see where it pointed for a folder name.
This is probably as specific an answer as I can give, since this is how I went about it. I hazarded a guess and it paid off. Let's just say the user who's machine I was working on was happy it worked out
If you've got any other questions, let me know.