A lot of the time dogs can be really interesting in your dreams because there they tend to do all kinds of things that you cannot imagine normally or that you would not normally imagine.
If you have a dream about a dog on fire then this can mean two different things. For one it can mean that you really need to start paying attention to things. A dog on fire is sure to get your attention from its yells, or even if it is somehow magically protected from the fire, when a fire is moving around at the rte that a dog normally moves at you will find it hard not to turn your head. A dog is something that you should pay close attention to and to have a dream in which you see a dog on fire it means that you are avoiding or not paying attention to some very important things in your life that do in fact deserve your attention. This is the way it works here. This dream could also mean that you are incredibly negligent of your responsibilities. A dog is a responsibility. You need to know how to take care of them and invest time and energy into it. If this dog somehow catches fire it shows that you are at the pinnacle of irresponsibility, being unable to prevent a dog from catching on fire, a task that it seems just about anyone should be able to accomplish.