I'm a terrible camper, I take everything bar the kitchen sink
It really depends if you're going to be 'camping' in a caravan park or similar with power/toilet/shower/bbq facilities or somewhere out in the middle of the bush with nothing!
If you're at a caravan park or similar campground with facilities, you don't need as much. Table & chairs, something to sleep on (camp stretcher/blow up mattress/swag etc) a powerboard and extension cord (as you just plug into one powerpoint at a central point usually) lantern/light, a frypan (electric is good), kettle, toaster if you have toast in the morning, camping fridge or esky with lots of block ice (lasts longer than the cubes), cutlery/plates/utensils/can opener, tea towel and some dishwashing liquid (and probably a bucket/plastic container to stick plates etc in to carry over to the wash sink), dustpan and brush for sweeping out the tent, food, probably lots of other stuff I've forgotten!!
If you have an unpowered site in teh middle of nowhere, most of the stuff above (except the electrical stuff) as well as gas powered lanterns, a gas stove (so you'll need 2x gas bottles so you can see and cook at the same time!), matches, a kettle that goes on a hotplate, pans and pots for cooking, 12v fridge or esky with block ice, a large plastic trough/bucket to wash up in, camp shower/toilet (or a shovel to dig holes).
If you're going for a few days, take a tarp and some extra tent poles to set up an undercover, shaded eating area, makes things a lot more pleasant, especially if you get rain!