Gillette started selling adjustables in 1955 with the Serial Toggles.
Move to the first quarter (D1) of 1958 and they brought in the FatBoys, Red Dot FatBoys and the Toggles. The Red Dot FatBoys and the two Toggles were only produced for the first quarter. Thereafter it was only the FatBoy
That remained unchanged until the last quarter (F4) of 1960, when they sold a run of Toggles and Bottom Dials, I guess as a Christmas promotion.
The below razors are in date order. Click on the image or name to take you to the page.

Red Dot FatBoy	Chrome Toggle	FatBoy	Bottom Dial	Toggle
They then introduced the Slim in the fourth Quarter of 1961
Slim	Super ADjustable 84	Super Adjustable 190 Brass Base	Super Adjustable 109 Plastic Base/Gillette knurl	Super Adjustable 109 Plastic Base/Diamond knurl
Gillette Franken - Adjustables I have these two here because, although they are Franken-razors - all the pieces are Gillette. They are also under the Franken section
Franken FatBoy	Franken Slim