One problem related to starter has been reported for the 2013 Mazda CX-5. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2013 Mazda CX-5 based on all problems reported for the 2013 CX-5.
The engine is not turning completely off when parking. You put the shifter in park and press the starter button off, it is staying on. The radio and any other accessories are staying on. I am having to re-start the vehicle multiple times and re-positioning the shifter in park for vehicle to actually turn off. In addition to draining the battery, I am concerned about other damage it could possibly cause. Also, there's the possibility of being alone and stranded somewhere. It's clearly a safety issue that I believe they are aware of.