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1978 Corvette
The C3 still holds the record for the longest production run of any generation Corvette. It was the generation that saw the Corvette "grow-up" from being a powerful track car and Le Mans racer to an iconic sports car synonymous with the American Dream. 
1962 corvette
While there are some early C1 Corvettes out there that are exceedingly rare and prohibitively expensive, there are plenty of first-generation Corvettes - especially those between 1959 and 1961 - that are well within the range of most budgets.