And nobody’s mentioned a pot to piss in?
Seriously, some inexpensive pots/pans. I’d get a Big-Ass Pot for boiling pasta, potatoes, etc., a 2-quart (or so) for heating sauce, oatmeal, etc., and 10 or 12-inch frying pan. If you can, get a pan where the lid of the big pot will fit the pan, too.
Most people can live on three cooking knives: an 8", a 3", and a bread knife. Everything else is just convenience.
Some really basic oven-proof casseroles, like Pyrex or Corning Ware, for making baked mac & cheese, tuna-noodle hotdish, or lasagne.
If you really hate cooking, consider a Microwave. They’re remarkably cheap these days, and you really can do quite a lot with them.
The following appliances aren’t totally essential but can be had very inexpensively: a Mr. Coffee, a basic toaster or toaster/oven, and a handheld mixer.
A basic set of cooking utensils - spatulas, measuring spoons, etc. These now come as all-in-ones at Target and K-Mart.
A full-length mirror, especially if you’ll be starting a new job or interviewing. They can be had for about $10-$20.
Some other hardware and cleaning-type things: WD-40, Krazy Glue, Dran-O, duct tape, a rubber bucket. Make sure the smoke alarm works (many take 9-volt batteries - buy a couple to have on hand), and if you’re over a garage you might want a carbon monoxide alarm, too. Check the electrical - if the circuit breakers or fuses aren’t labelled, take 15 minutes switching things on and off. If you’re unfortunate enough to have fuses (only applies if your apartment’s pretty old) go out and buy a few. You might want a fire ladder, too, depending on what floor you’re on and how far you are from an escape.
This is sounding intimidating, but much of it you might get as hand-me-downs from your family or from thrift shops. In our family we’re very partial to Goodwill Industries, since their stores provide job training for the handicapped.