One problem related to steering is tight 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.
I purchased this 2008 Honda Odyssey in 2011, with approximately 45,000 miles on it. During the winter of 2013, I began to experience groaning (and sometimes "humming") noises from the power steering system. Additionally, the steering wheel was hard to turn at low speeds. I assumed the vehicle was low on fluids so with every oil change (at the Honda dealership) , I insisted the power steering fluid be filled. The Honda dealer was not able to identify any noises. However, last night on the way home from work at approximately 10pm, the noise re-appears. The steering issue is now following the noise making it difficult to steer the vehicle resulting in a safety issue in operating the vehicle. I know I share these concerns with other Honda Odyssey owners and our complaints are falling on deaf ears with the dealers. I really want to see these concerns addressed before someone gets hurt.