A set of pans, knives, and cutting boards make up the core of any kitchen. You will use these nearly daily, and when you invest in a little bit of quality (no need to break the bank) they will last you for decades.
If you also like to bake, consider these essentials.
Small appliances take up room--whether it's counter space or closet space, so I am choosing multi-purpose ones more and more for my small-ish kitchen.
I regret garlic peelers, garlic presses, pickle claws, omelet pans, and many more. These are things I don't regret.