There are a total of 1012 fonts available in the "Content" folder of the DVD. There are also 98 fonts included inside the CorelDRAW installer, but they are simply duplicates of fonts available on the DVD. The "installer" fonts are not listed here as they are inside a CAB file and still have the old numerical file names instead of the new spelled out file names.
Attached is the Complete List of Fonts in CorelDraw X6.
AttachmentsCorelDraw X6 Font List.pdf