On a ping-pong ball, paint the eyeball, then the black pupil. Draw red veins on the ball. For a more realistic effect, use olives instead of ping pong balls.
Suggestions on additional designs:
Cat eyes - draw a diamond and color inside
Death - draw a black circle (not colored in) where eyeball should be
Whom to Credit
Lockhart, Kim. "D.A.'s Halloween Makeover." Disney Adventures. November 1994: 43-46.