Years ago I had a neighbor that had a 66 Fury II, it was dark green with a white top with a 383 also. He really liked it. My folks had a 68 Fury III but only had a 318. I think 68 was the first year for the newer larger body style.
It was my understanding that the I, II and III were just trim levels.
I'll always remember the trip that my family of four took in the 68 Fury in 1973. We drove from Miami to Alaska and back. 11,000 miles in six weeks!. We had one of those big storage boxes on the roof and camped most of the way. The car was flawless, never a mechanical issue during the whole trip.