What are the easiest vegetables to grow in your own backyard?

The ease of growing vegetables may depend on your specific growing zone and soil conditions. I have had the most success usually in raising peas and cucumbers.

The first year I tried growing peas, rabbits basically destroyed the crop. However, by spraying a mild solution of one tablespoon of dishwashing liquid and one tablespoon of olive oil mixed in water on the plants when they are very young, it is possible to deter rabbit attacks on peas (deer are more difficult but they are not a great a problem in my area).

I have been successful in the past with cucumbers by buying seeds that are packaged with seed tape. This prevents the seeds from blowing away in the wind before they can germinate.

Far and away, Zucchini, those suckers keep growing til you're overwhelmed, we eat the flowers early on just to avoid having such a huge surplus later on.
If you forget one on the plant, you will never do it again, it keeps growing! We did it once, got a huge one, and now always check for the shy ones.