Some repair shops say valves on the 2005 Honda Odyessy need adjustment & some say they do not. Can someone clear this up for me?

If they need adjustment, it will say so in the same part of the owner manual that details the oil change, tire rotation, fuel filter change, timing belt adjustment,…, intervals.

I’m with Beads. The correct answer is in the maintenance schedule that came with your owner’s manual.

One of the frequent posters here has commented on the need to adjust Honda valves, even when the manual ignores it. From the look of this diagram, they are adjustable:

Honda manufacturing makes no recommendations in their maintenance schedule for periodic valve adjustment for your vehicle.