For Hondas still under warranty, it's always best to follow the manufacturers warranty requirements. Actually, any oil you ever put in your engine should, at the very least, meet those standards. That said, I highly recommend 100% synthetic oil with one caveat: If your Honda engine has oil leaks it's a good idea to get the leaks fixed prior to switching to synthetic oil, since synthetic oil tends to clean up the crankcase removing sludge that may have previously plugged or slowed leaks. Of course, removing sludge is a good thing. I have run Mobile1, Red Line and AMSoil in my Hondas (all of the aforementioned exceed Manufacturers recommendations) and while I had good results with all of these synthetics, I have settled on AMSoil.
The 2013 Honda Odyssey has a 5-speed automatic.
The 2014 Honda Odyssey has a 6-speed automatic.
The 2011 Honda Odyssey has a 5-speed automatic.
The 2012 Honda Odyssey has a 5-speed automatic.
The 2002 Honda Odyssey has a 5-speed automatic.
The 2004 Honda Odyssey has a 5-speed automatic.
The 2010 Honda Odyssey has a 5-speed automatic.
The 2003 Honda Odyssey has a 5-speed automatic.
The 2009 Honda Odyssey has a 5-speed automatic.
The 2008 Honda Odyssey has a 5-speed automatic.
The 2005 Honda Odyssey has a 5-speed automatic.
The 2001 Honda Odyssey has a 4-speed automatic.