Cayman has a wealth of very good automotive repair shops with international technicians and computer equipment needed to diagnose problems.
They are also often connected to a dealership and therefore stock a large inventory of car parts. However, be careful when buying a second hand vehicle from China, South Korea or Japan that the make and model is one for which the auto repair shops can easily source parts. If you are not sure then just ask: they would be happy to tell you either way.
The following makes have dedicated dealerships in Grand Cayman, though other repair shops will often be able to service or repair the vehicle: Audi and Volkswagen (Arch Automotive), Mercedes-Benz, Honda, Mitsubishi, Daihatsu, Chrysler, Jeep, Dodge, Ram and Suzuki (Car City and the Mercedes-Benz dealership), JAC Motors, STAR EV, GTA, Nissan Leaf, Tesla, Chevy Volt and Spark EV (Cayman Automotive), BMW, Mini and KIA (G.T. Automotive), Hyundai and SsangYong (Prestige Motors), Ford, Toyota, Lexus, Lincoln and Jaguar (Vampt Motors).
The following dealership service centres are listed below with the brands they carry, though most will service any make and model.