There is a race called "Roadster Endurance" - it's in the Endurance race section. The only car permitted to enter is one of the stock Mazda MX-5 Miata/Eunos Roadster (regional names all bundled together), with an allowed tyre upgrade (Gil suggests T3 - hard/slick - racing tyres, I'd suggest T3 on the front and T4 - medium-hard/medium-slick - on the back).
The only guaranteed way to win an F1 car is to do the Formula GT Championship in Professional. Oh, and finish the game, or GT Mode. But to do that you have to win the Formula GT, so it's as broad as long.
You can win Formula GT in a Nissan R390 race car, a TS020 race car and possibly a Zonda Race Car/Mazda 787B.