The 2007 Honda Odyssey has 4 recalls, the most serious being a brake system defect where the stability control system can apply the brakes hard and without warning while driving, and the brake lights fail to illuminate, leaving following drivers with no indication the vehicle is slowing.
A related issue involves the stability control system's self-diagnostic routine, which runs each time the engine starts: this process can allow air into the brake modulator pump, which can reduce braking effectiveness over time. There is also a fuel system concern where the fuel pump strainer cover can deteriorate and leak fuel, raising the risk of a fire.