It wasn't made by Sega, sadly, but whatever: around 2003-04, there was an arcade version of Daytona USA going around that added RPG elements to the famous racer.
Put together by modders, it was called Daytona USA : GTX 2004, and featured a range of little changes and improvements to the original like upgraded visuals.
The big changes, though, were to the way you could earn skill points after each race, letting you customise your vehicle. You could put better tyres on your car, increase engine performance, add armour to prevent damage and even install a turbo button for boost power.
While official games of this time period would have had you use a card to physically save your progress and customisation, GTX 2004 looked to the 90s, and simply gave you a code you could punch in next time you played, letting you pick up where you left off.
The game was originally sold as a conversion kit for Daytona cabinets for around $500, but these days is most commonly played via emulators.
Daytona GTX - 2004 Edition [Arcade History, via @necrosofty]