The Parts Box is a Pro Kit Box in Asphalt 8: Airborne that appears as Parts Box 1 to Parts Box 5. As all Parts Boxes have the same drop rates, it is probable that they don't differ except for the number of cards contained.
The box is identical in appearance to the Tire Box 1-5, but drops all part cards, not only Tires.
Availability
Since the 2020 Lunar New Year Update, Parts Box 5 is available as a permanent offer in the Bundles section of the shop. Parts Box 1 and 2 were obtainable as Time-Limited Event rewards for a short time in 2019.