One problem related to transmission solenoid has been reported for the 2004 Acura TL. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2004 Acura TL based on all problems reported for the 2004 TL.
Vibration leading to a shudder in the front end of a 2004 Acura Tl. Vibration starts at 1500 rpm up through 2000 rpm at 45 mph through 60 mph. Vibration and shudder is intermittent in nature and can be quite severe causing you to slow down. Car has been back to the dealer 3 times since I purchased it in October 2004. They have aligned the motor mounts, balanced the tires, adjusted the solenoid on the transmission and adjusted a heat shield . Still have the problem. Spoke with Acura client service and was told this is a driving characteristic of the car but their engineers are working on it. They assigned a case # to it b01-2004-11-1100593, my case managers name is ed. At present they have no fix for the problem and I don't feel they know what the problem is. I have noticed many postings on the internet from other Acura Tl owners having the same problem.