I love having access to a food processor, I just haven’t been able to afford the one I want, a Cuisinart. Anyway, as @papayalily said, they are indispensable for making pesto, soups, mincing/chopping a lot of veggies or nuts, and all sorts of things. I personally prefer an immersion blender for soups, as it’s just much more convenient and easier to clean, but for pretty much everything else, I personally would find a food processor to be quite handy.
This summer, I probably made 100 pounds of red pesto and caper-olive-artichoke spread. My mom uses her constantly, on a near-daily basis. In fact, trying to make a real Italian ragù without one is a pain in the butt, having to finely mince the soffritto ingredients by hand.