One problem related to brake squeaking noise has been reported for the 2008 Honda Odyssey. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2008 Honda Odyssey based on all problems reported for the 2008 Odyssey.
When braking, even press the brake very hard, the car is making squeaking noise, and it will not stop. Had to release and press the brake three times, to finally stop the car. Good thing we were doing only 20mph.