If riding through Paris with the wind blown in your hair is one of your dreams, why not hire a 2CV instead of a sportscar. You wil have a more french authentic experience and a lot of fun. The 2CV is part of the french culture. By riding through Paris in one, you can enjoy all the major monuments and some hossip with it when your chauffeur tells you the little stories of the city.
There are several organisations who do have tours like that :