findersidebar
I moved my download folder on to an external hard drive and then deleted the folder on my Mac.
I clearly had folders I had pinned to the side bar with a root folder in the download folder I deleted.
As a result, when I click on one of those items in the sidebar, it does not respond.
All I am able to do is ctrl click which gives me the option to open sidebar preferences.
How can I unpin these from my sidebar?
It's rather simple. Right click on the folder and click "Remove from Sidebar".
EDIT:
Since you specified that after installing the Paragon NTFS driver the folders became un-removable, i suggest that you disable the driver (from the System Preferences preference pane), restart your Mac, and see if the problem persists. If it still persists, remove Paragon NTFS and/or remove your Finder preferences. I will update my answer if disabling it does not work.
On Lion, items that cannot be removed from the sidebar are usually listed under "Devices" or "Shared" (there are Snow Leopard counterparts to these as well). If you'd rather not see these items in the sidebar, you can remove them by following these steps.
With Finder focused, visit Finder->Preferences or ⌘, and select the Sidebar tab.
Uncheck items that you don't want shown in the sidebar
Best Answer
Hold command and click and drag the alias out if the side to remove, I believe.