One of the big trends of the '60s was the rise of the "personal luxury" car, a two-door that was either based on an existing full-size model or, more desirably, had its own distinctive bodywork. Ford pioneered this category when they enlarged the Thunderbird from a two-seater to a four-seater for 1958. It took General Motors and Chrysler a surprisingly long time to react and come to market with their own variations on this theme.
One of GM's early efforts was the 1961 Oldsmobile Starfire, like the Thunderbird a large, luxurious convertible (a coupe was added a year later) with bucket seats and a console, followed in the middle of the 1962 model year by the Buick Wildcat and in '63 by Pontiac's Grand Prix.
(Images from Old Car Brochures. If you'd like to read a more in-depth treatment of this car, head to Curbside Classic.)