Honda is proud of the Odyssey and its five-star NHTSA crash-test and safety ratings.
Does it have a crash-test rating by the NHTSA?
As far as safety, if it has been tested by the NHTSA then you can find out a car's crash test safety rating at the web page Safer Car.
In other cases, the National Highway Transportation Safety Administration (NHTSA) will influence or order a recall based on complaints and safety data.
The NHTSA Office of Defects Investigation Recall Search allows you to search for your car's make, model, and year.