My favorite classic car is the Bugatti Type 41, although my list of favorites would number in the hundreds and include Duesenbergs, Packards, pre-war MGs (and some post-war ones), Ford GT40, and probably atleast one model from each brand around the world.
It is correct that the Thunderbird was not offered as a four-door in the early days. Four-door T-birds first appeared in 1967 and stopped production four years later.
The Batmobile from the 1960s TV show was not based on a Corvette. It was on a Ford chassis and based on the styling of a Lincoln showcar of the 1950s (the name of the concept slips my mind at the moment).