The front brake rotors can warp and cause a vibration when braking. The rotors will need to be machined or in cases where they are worn to thin, replaced to correct this issue.
2013 Honda Odyssey Problem Reports
RepairPal Verified 2013 Honda Odyssey Problem Reports
A rear engine mount that is broken can cause an engine vibration felt in the vehicle. Replacing the failed mount will repair this problem.
There have been some issues reported with the electric sliding doors. Our technicians remind us that proper diagnoses will be necessary to determine the cause of various faults which may occur.