Dips are great, but make sure you aren't using your legs to help. I found that using a bench just a few inches off the ground was HARDER (in a good way) than using a chair because I was unable to assist myself with my legs.
Push-ups are terrific for the shoulders, chest and back.
Bi-ceps: curls using 8, 10, or 12 pound weights. Focus as much on the down motion as the up motion. It provides more resistance. (I like to do these while standing on my tiptoes to hit the calves as well. Hold the dumbbells at your side. Come up on your tiptoes, hold and do a curl. Lower the curl, then lower to flat on your feet. Repeat. It's harder than it sounds and you lose a lot of core muscles to keep your balance. It also prevents you from having improper form on the curls.)
Bicep hammer curl: A curl, but holding the dumbbells so that the palms face each other.
Tricep kickbacks: Standing on two feet, hold a dumbbell at your side, keep your upper arm against the body and unhinge at the elbow moving the dumbbell behind the body.
Tricep pushups: Do pushups with the hands close together. (the wall works
) This really focuses on the triceps.
I know you didn't ask for shoulder, but I can't resist as this is my new favorite:
lateral raises starting at the top: Holding two 5lb weights, raise both arms out the sides. Drop the right arm only, raise back up, drop left arm only, raise back up. One arm is always up rather than resting while the other arm works. After 15 on each side, hold both arms in the "up" position for a count of 5-10. The same exercise can/should be done raising the weights to the front as well.