I occasionally make soup and then freeze it in separate containers to be eaten at a later date. Most of the time I keep one or two servings in the fridge to use in the next few days but I never know how long to actually keep these in the fridge. This time I made this soup http://allrecipes.co.uk/m/recipe/7404/creamy-carrot-and-potato-soup?o_is=LV, It doesn't have any cream in it at the moment so ignore that part. Do people have a particular rule of thumb or does it really depend on to many factors in order to have a specific answer (content, cooking method etc.)?
Homemade soups should last 3-4 days in the refrigerator, which is a good estimate for almost any cooked food.
If you want longer storage, most soups freeze pretty well, unless they contain pasta, which gets very mushy. On the other hand, it is easy to leave the pasta out of the main batch, and add it later at the time of service.
See, for example: