Seeing all of the major car manufacturers in the world were gambling on Group 5 racing, not limited to Tenrai, Gyoza, Monarch, Patriot, Kompresseur, Nova, and Enthusia; Wulff wanted to enter the fray with not only the Wulff Silhouaero, Wulff also developed a new platform of Silhouette racers that would enter the Heavyweight category, known as the Aerodynamic Super Silhouette Car. The vehicle started in development in 1976 alongside the Silhouaero. The car had started out with a turbocharged 2.9L V6 that produced 600 brake horsepower, with all wheel drive and a six speed manual transmission. The car had negative camber on the front and rear wheels at a 20 degree angle, with four wheel steering. On race day for the 24 Hours of LeMans in 1976, the very first prototype of the car participated in the race, but did not complete the race due to a blown turbo. However, on the Mulsanne straight, the car managed to clock in at an impressive 210 miles per hour.
In 1977, a different aspiration plant was put in, which was a bi turbo aspiration, with an increase in displacement from 2.9 liters to 3.3 liters, as well as a professionally engineered engine block by Advantage, while RS GmbH worked on the aero kit. With the engine being remapped and all that, the car chirped in at 650 brake horsepower, where four more ASSC's were built and sold to various racing teams, where it entered the 24 Hours of LeMans once again, alongside the brand new Wulff Avoneer and the Silhouaero. It was entered in the Heavyweight category, where it raced against the Enthusia Lacetti and the Voodoo Orbiter GTR. The Orbiter didn't prove to be much of a threat unlike the Enthusia Lacetti, where the ASSC's and Lacettis were at the top of the grid.
- The car is generally based off of the BMW M1 Group 5 Turbo race car, while the headlights take inspiration from the FC Series of Mazda RX7s and the taillights are based off of a Ferrari 208 GTB.
- The ASSC's name is a nod to the Anti-Social Social Club. In particular, a collab between the ASSC and Hot Wheels, with Hot Wheels making a BMW M1 Procar diecast model with ASSC Vinyls.