For the last few years, low carb diets have been all the rage, promoted as an easy and healthy way for people to lose weight. What to eat can be confusing, however, as carbohydrates are necessary as part of a healthy diet. Although low carb diets place an emphasis on eating lean protein such as chicken, low carb vegetables include cucumbers, celery, broccoli and cauliflower. Popular low carb fruits are strawberries, blueberries raspberries and blackberries, along with apples and rhubarb. Peanut butter is also a popular food included in low carb menus.