One problem related to fuel pump has been reported for the 2005 BMW Z4. The most recently reported issues are listed below.
2005 BMW Z4 3. 0i faulty fuel pumps. I have had 3 fuel pumps replaced on my car and still have the very same problem. My car stalled, the idling drops, the fuel pump makes a loud vibrating rumbling noise. Many others are complaining about the same problem, the yrs affected are from 2003 - 2009.