Chosing 2 pans - the most versatile solution
If I could only have two pans, those pans would be a high quality 12 inch stainless steel skillet, and an enameled cast-iron Dutch oven. Both pans would have a lid. Tempered glass lids are nice on the skillet/fry pan, but the quality of the skillet is more important. 

Fantasy Skillet



Fantasy Dutch Oven



Dutch ovens come in a huge range of sizes. Consider the size you want carefully, this pan should outlive you. Are you likely to be cooking for a larger number of people at some point in time? For someone to whom both are available, there is no way I would recommend paying $300 or more for the Le Creuset brand, when Lodge makes virtually the same pan for $60. I'll have some more info for you in a bit (note: we later discussed it at length in chat), but I probably won't recommend a specific brand unless I happen to find a credible source for such a recommendation.