One problem related to engine and engine cooling has been reported for the 2003 BMW 745. The most recently reported issues are listed below.
Terrible transmission in this car!!!while driving, this car jumps into gear. Feels like someone hit me from behind whenever I stop. It also started leaking transmission fluid. After researching this car, I have found out the 745li models are known for transmission problems,and leaks. This car should have a recall on it,because apparently BMW knows this,and has done nothing about it. They should make consumers aware they have ongoing problems with the transmissions. I went to drop car off for repair,and there were 4 other 745li's needing same repair. BMW should be made to recall these cars,and pay to have them repaired,or reimburse us if we already had this fixed.