One problem related to transmission not go into gear has been reported for the 2006 Audi A3. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2006 Audi A3 based on all problems reported for the 2006 A3.
I have a 06 Audi A3 with about 57k mileas and while traveling to California, accelerating on the freeway I felt the car hesitate several times and I lost all control of acceleration. My only action was to stop pushing the gas pedal and downshift to another gear.