I have a Cuisinart 7-cup food processor that I've had for, oh, five years now. I finally made room for it on the counter because my husband and I realized we just wouldn't use it otherwise (that sucker is heavy, and it ended up in in the back of a lower cabinet).
Now that it's out and easily accessible, we probably use it at least once a week or so. My husband likes to use it for chopping things when we need a whole lot. I like to use it for grating a whole bunch of cheese at once, or whenever I need very uniformly sliced vegetables. I also sometimes use it to shred vegetables when that's necessary. We also sometimes use it to make breadcrumbs.
When I make salsa, I do it in the food processor, but I haven't made salsa in years. I also make pie crust in there, because I'm phenomenally bad at cutting butter into flour, and the food processor does it fantastically in approximately half a second. I don't make a ton of pie crust, though, because I have yet to make one that is actually better than what I can buy. When I need meringue, I use the food processor because I don't have a mixer (handheld or otherwise), and there's no way I'm going to beat egg whites into stiff peaks by hand. The Cuisinart is never going to get me stiff-peaked meringue, but it does soft-peaks just fine.
The only blender we have is an immersion blender, so we use the food processor for a lot of things other people probably use blenders for. I like the combo of food processor and immersion blender, because the immersion blender fits in a drawer (and is easier to wash), and the food processor is capable of doing more stuff than a blender.
I do eventually want to get a stand mixer so that I can do things like mix doughs (I've never really tried with my Cuisinart, but I don't think it would work especially well) and make actually stiff-peaked meringue or homemade whipped cream. But that will have to wait until I have more money and more counter space.