"NA" means "Naturally Aspirated". This is any engine without forced induction as standard - this means no turbochargers or superchargers. Vehicle aspiration can be found in the vehicle's information sheet.
At a later date, when I've had a chance to modify all of the cars, more information will appear in the Drive column. I like to use the format "nxxx". The inital number signifies the number of gears available on the stock vehicle (1-7). The next two letters signify the engine/drive wheel placement (FF, FR, MR, 4W, RR) and the final letter signifies the tuning type (T for Turbo & Intercooler; t for Turbo without Intercooler; N for NA tuning alone; and n for no significant power upgrades). 6MRt would, for example, show a car with a 6-speed gearbox, mid-engine, rear-wheel drive with available turbo upgrades but not intercooler upgrades. When this information becomes available, only cars with a terminal "T" would be ineligible for the NA Sports challenge. For now you'll have to rely on innate car knowledge and/or in-game data sheets.
To help you, steer clear of anything Japanese with big power (Skylines, Supra, RX-7, GTO). A TVR would be a good bet.