One problem related to engine head gasket failure has been reported for the 2013 Honda Accord. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2013 Honda Accord based on all problems reported for the 2013 Accord.
I bought this Honda Accord lx 2013 in Aug 2012. About a few months later, I notice the car engine oil level keep decreasing. Then I see there are oil leak marks at the overhead cover where it is tightened to the engine block. In August 2013, I brought my car to nearby Honda dealer. They kept my car for two days and said they replaced the gasket. But after one month, I still see oil leaking out at the same spot. Today, Dec 16, 2013, I bring my Accord back to the dealer. They told me I had to leave my car there until tomorrow (Dec 17) while they are ordering another new gasket. I am extremely disappointed a persistent oil leak has happened with a brand new Honda Accord 2013 !!! I research on line and see this issue also happens with some other 2013 Honda Accord owners.