A sports car is the embodiment of all that is fun about cars. It is the complete opposite of a sedate get to you point b with 3 other passengers loads of groceries kind of car. For that reason, it should be stick shift, have two doors, have a certain nonpracticality about it and for that, it can not have a roof.

So by your definition, the following aren't sports cars.

Lamborghini Countach, Diablo
Corvettes
Ferrari 575M Maranello, 465M GT/GTA, 360 Modena/Challenge, F40....and that's not even counting the older cars.
Ford GT40
Ultima Sports, GTR
Lotus Esprit.
Jaguar XJ220
McLaren F1 Road, LM, GT, GTR95/96/97


/me begs to differ.