The engines sold with these cars were all V6, and all either turbocharged or naturally aspirated. The top engine was the twin turbo V6 put in some Z32's. It made 300 horsepower, which is a lot of output for a sports car that is rather compact.
Some special editions of these cars included the 50th anniversary (of the Nissan / Datsun company) version of the Z31 in 1984, and the Shiro Special, a performance version of the 300ZX sold in 1988.
The final 300 of these cars sold in the United States in 1996 were sold under the Commemorative Edition name, which was not really different than the other cars sold that year, but for some reason Nissan had to make sure people knew that the cars would not last long.
The Z32 version of the 300ZX, sold from 1989 to 2000, was sold as both a convertible and a hatchback. These cars would eventually be replaced by the 350ZX, the current model of the Z line.
These cars are highly collectible and sought after by import fans and people who collect Nissan sports cars. You can buy a used 300ZX on places like eBay, where you can also buy original and custom parts.