The FZS1000 Gen 1 was the carburettor model Fazer 1000 and there were 2 variants
The FZS1000 which was available from 2001 to 2005 and had a silver engine and a different colour silver frame.
The FZS1000S which was available from 2003 to 2005 and had a black engine and black frame.
The Yamaha logo first appeared on the tank in 2003 and was on both versions to the end.
FZS1000 The 2001 models were coded 5LV1 and came in 3 colours which the catalogue called: Black 2, Deep Purplish Blue Metallic C and Vivid Red Cocktail 7 with Yamaha name on Tank
The 2002 models were coded 5LV8 and came in 3 colours which the catalogue called: Black 2, Deep Purplish Blue Metallic C and Silver 3 with Yamaha name on Tank
The 2003 models were coded 5LVF and came in 2 colours which the catalogue called: Dark Purplish Blue Metallic L and Silver 3 with Yamaha Logo on Tank
The 2004 models were coded 1C21 and came in 2 colours which the catalogue called: Dark Purplish Blue Metallic L and Silver 3 with Yamaha Logo on Tank
The 2005 models were coded 1C28 and came in 2 colours which the catalogue called: Dark Purplish Blue Metallic L and Dark Bluish Gray Metallic 8 with Yamaha Logo on Tank .
FZS1000SThe 2003 model was coded 5LVN and came in 1 colour which the catalogue called: Reddish Yellow Cocktail 1 with Yamaha Logo on Tank
The 2004 model was coded 1C25 and came in 1 colour which the catalogue called: Bluish Silver 4 with Yamaha Logo on Tank
The 2005 model was coded 1C2A and came in 1 colour which the catalogue called: Deep Red Metallic K with Yamaha Logo on Tank
Some imports from Europe have FZ1 on the fairing because they could not use the name Fazer because some company were already using the name Fazer in the country of origin. The American models also had FZ1 on the fairing for the same reason and had a few extra colours.
Now you know
The best model of the lot is the 1C2A because thats the one I have