The Fast Toys Club, a new members-only automotive program based in Southern California, grants its clients access to a fleet of luxury vehicles and racecars that includes models from Audi, Rolls-Royce, and Mercedes-Benz, along with track time and VIP access to the year’s biggest auto shows and races.

Launched in June, the club offers individuals two membership tiers: gold ($8,000 for three months) and platinum ($13,500 for three months). Both membership levels grant 100 days of vehicle usage for up to 7,000…