@ MNR Includes 111 Photocopies, only 86 Originals. Other Original Groo Appearances includes 2 copies
The Groo reprints began on March 10, 1996. There were 218 Sun. Megazines through June 11, 2000
Covers Covers Covers
There have been 187 Original Groo Covers on (American) Groo Publications.
(188 if you count Pacific #6 as 2 or the Death/Life of Groo flip covers as 2, 189 if you count them both.)
There have also been another 40 Original Groo Covers for Spanish Groo Publications and 1 for a French Publication.
(This can get a little tricky because 4 of these are altered Epic covers and The Death/Life of Groo Double cover was originally done for a Spanish publication, but now it's counted as an American Cover and not counted here. Also, one of the Spanish covers came out in 1999 and uses a drawing dated 1984 that was not previously published.)
Plus there are about 20 full fledged Groo covers (as opposed to covers where Groo merely appears) out there on Non-Groo publications.
So the answer to the question "How many Groo Covers are there" depends on what you mean by a "Groo Cover".