One problem related to lose power steering has been reported for the 2005 Honda Odyssey. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2005 Honda Odyssey based on all problems reported for the 2005 Odyssey.
Driving through a local park with 3 speed tables, after crossing the 3rd table I heard a clunk from the engine on the passenger side, lost the power steering and the check charging system light came on. I had to keep driving as there was no safe place to stop. I drove slowly without power steering, the clunking contunied until something broke free and I noted it's location on the road in the rear view mirror. I was able to get back to the place within 30 mins so the part was still there. It was a metal ring with grooves on the outside, looked like a belt went on it. I got it to a shop and they told me the harmonic balancer was gone and that it would need to be replaced. Driving down the road and loosing steering is a big safety issue, and needs to be looked into by Honda.