One problem related to transmission gear slipping has been reported for the 2005 Chevrolet Suburban. The most recently reported issues are listed below.
The transmission began slipping; the car would not move from 2nd to 3rd gear; the transmission had to be rebuilt or replaced on 2/06/2008, we had it rebuilt. The vehicle only had 69710 miles. We were in a rural area at the time rather than rush hour traffic. Thank goodness.