For us what I have and adore:
~ A freezer (I need a bigger one - 4 cubic feet just ain't gonna hack it when I want to buy part of a cow and freeze strawberries to last the year and so on - I'm already planning ahead because I'll probably be the only girl in the family - feeding 3 teenage boys kind of scares me)
~ Canning supplies; water bath canner, pressure canner, jars, lids and so on.
~ Stamina and drive to use said canning supplies - it's long hard work, but so worth it to me. Especially with the homemade applesauce
and homegrown and canned green beans (costs $.12/quart if I count the cost of the jar, the lid, the seeds!) that store stuff just can't even come close to. Yes, I've become a food snob that way.
~ Yard/space to garden my heart out.
~ Drive to plant and weed and harvest vegetables and fruit.
~ An awesome food processor. Makes things like salsa and relish and jams and such *so* much easier to prep. Plus I've been known to saute up ground beast, then throw in the food processor to puree - so it's little smooth-like balls/chunks like what you get at Taco Time. I haven't done pie crust in it yet, but that's because dh has been on a pie kick lately instead of me.
~ A pantry to store said things. A root cellar would be a total bonus IMO, but we get along okay without one - despite how much I whine and complain I want one (potatoes will sprout within 2-3 weeks in our house - there's no place cold enough to store anything here)
Things that I appreciate but aren't total deal breakers for me right now are the mixer (it's a Kitchen Aid, I'm not in love with it - let me try a Universal Bosch for a few months and I may change my tune), the crockpot (but if you took it away I might have issues), that kind of thing. I don't have a bread machine. I have issues and detest the little hole that ends up in the bottom of loaves when you bake in it - I have to cut that part off. It's just easier to mix everything up in the mixer, let rise in bowls, and then bake in regular loaf pans. Or rolls, which the kids really dig (single serving size!) and breadmakers just can't do.
I don't have a meat grinder, it hasn't been something we've needed. Of course we don't raise our own meat, so we always buy stuff already butchered and packaged. It could be handy though if you do get a lot of meat to butcher yourself or whatever.
We're also thinking of eventually getting another basic fridge to stick in the garage to plug in for when we need a little extra freezer and fridge space - oh, like harvest time. There's only so many batches of green beans you can rotate through the canner in a day, only so much jam you can make before you collapse in exhaustion, or the kids want attention, etc. Or if you buy 120 pounds of apples at a time or get 30 pounds of carrots, etc. I kept running out of room in the fridge so much this year, it was annoying. And I'm not even up to the scale of production that I want to be in a few years. Which in itself is a little scary I'm sure, but still.