The 2003 BMW Z4 has 3 recalls, the most serious being an airbag concern where an incompatible control processor may have been installed, meaning the airbags for the driver and front passenger may not deploy in a crash.
On the tire side, vehicles equipped with 18-inch wheels may have had the tires damaged when they were mounted to the rims at the factory. That damage can cause a slow pressure loss or an abrupt tire failure while driving, either of which can lead to a loss of vehicle control. There is also a fuel system concern: under certain conditions, specifically high outside temperatures combined with elevations above 5,000 feet, the electric fuel pump can experience vapor lock and cause the engine to stall. If that happens, the engine may not restart for up to 15 to 20 minutes, leaving the vehicle unable to move until the pump cools down.