The Dodge RAM 1500 is one of the most reliable trucks on the road. They can be work trucks, around the town trucks, or both. Not many have severe problems outside of typical vehicle problems, but like with all vehicles, you can save yourself some headaches by staying away from a few different years. Here are the Dodge RAM 1500 years to avoid. Dodge RAM 1500 Years To Avoid 2003 2010-2013 (5.