2016 Jeep Grand Cherokee is the newer version with some differences, such as the model year and fuel economy.. First of all, there is a difference in model years. The is 3 years newer. And finally, you get 2 more mpg with the 2013 Grand Cherokee than with the 2016 Grand Cherokee. Among similarities are the body structure, market segment, starting price, horsepower, ground shadow size, height, and maximum occupancy.