The deltoid, or shoulder, is a magnificent group of muscles. There are dozens of exercises that target this area, here are some of my favorites. These target more the anterior and lateral deltoid, stay tuned for posterior deltoid movements.
Band overhead press
Cable overhead press
Cable raise or fly, including lateral, front and rear
Cable upright row
Dumbbell front raise
Dumbbell overhead press
Dumbbell upright row
Lateral raise machine
Overhead press machine
Stability ball inverted pushup
NOTE: Perform with fullest range of motion available. Occasionally perform with varying grips and rotations. As we age, I prefer to use unilaterally movements for any overhead actions. They are safer on the shoulder joint.

Marc D. Thompson, owner of VirtuFit®, is a prominent fitness trainer and personal coach with a background in exercise physiology, medicine, integrated functionality and dynamic flexibility. He has pioneered virtual training, teaching via Skype one-on-one sessions and group classes on each continent. Approaching fitness holistically, Marc believes the fusion of creativity and practicality is essential in moving each individual toward their health and fitness goals. His comprehensive fitness book is available at https://www.createspace.com/4991325.