Everyone LOVES raised beds! They are beautiful, orderly, and easy to reach and work. There's a ton of information on this site on how to build raised beds as well as on raised bed vegetable gardening. And...
There is also information here about how to grow in-ground gardens, because there are advantages and disadvantages to both methods, There are also a bunch of other "methods", but they all are basically either in the ground or a raised bed.
Which method is "better" depends entirely on what YOUR goals are. It's important when you're starting out to be familiar with both the upsides and downsides so you can make the choice that best aligns with your vision.
Here are a couple of examples of how deep the roots of a healthy plant actually go when it is not restrained (each square represents one foot):
Raised Bed Garden Kits
Raised Bed Corner Brackets
Raised Strawberry Bed
Raised Bed Construction
Raised Bed Garden Designs: Photo Gallery
French Intensive Raised Bed Garden (Double Dug)