Here is what I got on that. I could be wrong with some of these models though and Erich can clarify any of the mistakes that I have.
Fw-190V-1 through Fw-190V-54 which I will not count as varients.
So I believe there were 25 different varients of the Fw-190.
Fw-190A-0, A-1, A-2, A-3, A-4, A-5, A-6, A-7, A-8.
Fw-190B of which only 6 were built.
Fw-190C of which only 9 were built.
Fw-190D-0 which actually was a A-7 converted to the D standard and only 10 were converted.
Fw-190D-9
Fw-190D-12
FW-190F-1, F-2, F-3, F-8, F-9
Fw-190G-0, G-1, G-2, G-3, G-4, G-8
Then ofcourse there were the Umrüst-Bausätze (factory conversion sets) and Rustzaetze (field conversion sets) which came to a total of 70 different sets.
There also were Fw-190Aa-3 which built only for Turkey and similar to the Fw-190A-3 of which 72 were delivered to Turkey. The a after the A stood for auslaendish (foreign).
The French also produced the Fw-190A-8 after the war for the French Airforce and called it the Focke-Wulf NC.900 and built 64 of them.