Yesterday I dropped our '05 Ody off at the dealer for an oil change and for them to look into a slight vibration that I was feeling through the steering wheel. At first the service tech said it was due to the tires but when I explained that this occurred at all speeds but most noticeable around 60 mph, happens on all road surface types, and it felt more like something was radiating up through the steering column to the steering wheel, he then took another look at it. A few hours later it was fixed, they said the left front wheel bearing was going out.
Though skeptical that this was the cause because it felt more like a slight vibration being transmitted though the steering column than a shake type of vibration, after I tested the fix it seems to have resolved the problem.
We've had our Ody for 27,000 miles/less than two years and have had the power steering pump replaced, the front wheel bearing, and we're still having the squeak in the drivers side sliding door (this was again on the list when it went in this week and again they failed to fix it). I hope this does not get worse as we pass the 36,000 mile mark.