Championship Rally is a 1991 racing video game published by Hal Laboratory, and made for the Nintendo Entertainment System. This game was not released in North America, and is considered semi-rare.
The game features a variety of courses, weather and track conditions, and the ability to customize all the features of the player's car. Since it was a single-player only game, there was no need for two cars to be customized.
Source: Wikipedia, "Championship Rally", available under the CC-BY-SA License.