You probably use tomatoes in all types of food — soup, sandwiches, salads, and more — so it only makes sense to grow your own. Pick tomato plants that do well indoors. You'll have higher chances of success with the smaller variety such as cherry tomatoes. Find more instructions on how to grow them here.
Herbs are a must to add fragrance to your dishes, but when you buy them from the grocery store, they are not always fresh, and they may wilt way before you're done with them. Many herbs can be grown indoors and are perfect for small spaces, so do your research before deciding to grow them. Some herbs that don't take up much space and don't require as much sunlight include parsley and chives.
You've probably seen lots of mushroom growing kits around, which goes to show how easy it is to grow them yourself. And they are perfect for apartment dwellers because they need to be grown in the dark. You can always start with a kit to get the basics of mushroom growing down before venturing out on your own.
What fruits and vegetables have you successfully grown indoors?