Depending on which year Dodge you get, there can be various (and changing) issues.
Here is a good place to start:
Note that EVERY vehicle out there, diesel, gas, car, truck, import, American, or any other category you want to think of, WILL have a series of issues that have cropped up in that platform over time. So, in essence, you trade one set of problems for another set of problems, which may or may not be easier to deal with, less or more expensive, or more in line with your intended use and/or skill sets and wallet depth.
After 30+ years in the business, I've come to realize that certain makes and models have recurring problems, for instance, you can COUNT on replacing the steering rack on a front-wheel drive model Ford Taurus at some point in its life. You can COUNT on replacing the transmission in a Dodge mini-van at around 70K miles. You can COUNT on the killer dowel pin being a problem on a 12V Cummins, and you can COUNT on having other problems with other platforms.
You can also COUNT on the fact that fans of a particular model will overlook their own problems and point out those in other lines... That being said, in my own case (I'm NOT a big fan of Dodge products) I looked at the Cummins diesel in the Dodge trucks and decided that the ENGINE is worth the other problems that I might find in the Dodge truck platform. For me, best of all worlds would be a Ford truck with a Cummins engine. That may yet happen when my Dodge turns into a rusty red spot with a still-great Cummins sitting there exposed to the elements. It is hard to top an engine that can easily, reliably, and inexpensively be tuned to produce close to 400 hp, 800 ft. lbs. of torque, and that pulls down over 20 mpg while doing so.