Aloe Vera - Excellent indoor or outdoor container plant.  Well-known and well-researched medicinal plant. 

Arugula - Mustard-like green.  Grow in salad gardens and use in salads and stir-fries for a peppery, pungent taste reminiscent of horseradish.

Basil - Popular, attractive plant with many color variations.  No herb garden is complete without it.  Excellent in salads and as a garnish.  Medicinally used mainly for its stomach soothing qualities.

Borage - Attractive blue star-shaped flowers, but rather scraggly growth habit.  Cucumber-like taste.  Used medicinally internally in teas or topically for a variety of ailments. 

Calendula - Cheerful yellow flowers that bloom almost constantly in warm weather. Excellent addition to flower or herb gardens.  Flowers often used as a garnish.  Limited medicinal qualities.

Cayenne - Attractive shrub-like plant with fruits that start green and then turn fiery red.  Very hot, but nutritional powerhouses.  Used medicinally for a variety of ailments.

Chamomile - Member of the daisy family with daisy-like flowers.  Bitter taste and not usually used in cooking.  Medicinal properties are well-known and include many common ailments. 

Chervil - Close relative of Parsley, used mostly for flavoring other foods.  Some medicinal uses, most notably for high blood pressure.

Coriander - Another member of the Parsley family.  Entirely edible plant with a strong taste often used in Indian and Asian foods.  Medicinally used mostly as a flavoring agent. 

Dill - Popular garden herb with feathery silver green leaves.  Nice addition to the herb garden.  Used as a flavoring for many dishes and in pickling.  Not a major medicinal herb, but often used for its stomach-soothing qualities.

Garlic - Onion-like plant with beautiful flowers.  Well-known in cooking.  Medicinally important herb that is completely safe.  Widely available in many forms. 

Savory (Summer) - Attractive trailing plant. Nice in containers. Mostly a culinary herb used in a wide variety of dishes.  Tastes like peppery Thyme. Minor medicinal herb.