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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.
The Duntov Turbo was built as a partnership between American Custom Industries (ACI), a company known for building replacement Corvette body panels, and Zora Arkus-Duntov. It was developed as a highly-stylized convertible sports car based on the production model Corvette. Each of the special Duntov Turbo's also came with a turbocharged V8.
The first Z06 was actually an option package first offered with the 1963 Corvette. The package was developed by Corvette's legendary lead engineer and racing advocate Z0ra Arkus-Duntov.  The Z06 option was designed to allow consumers to bolster the 1963 "Split-Window" Corvettes performance and handling capabilities for use on the race track. Selecting regular production option (RPO) Z06 when ordering a Corvette resulted in a car equipped with some tasty options.
The XP-819 Corvette prototype was introduced in 1964 by Frank WInchell and Larry Shinoda as the first, experimental, rear-engine Corvette coupe. The XP-819 was developed in the mid-1960's as an engineering exercise to determine if a rear-engine platform was right for the Corvette program. During that time, Chevrolet was still under a racing ban.