Your eyesight is your vision, or ability to see. If your eyesight isn't perfect, you can correct it using glasses or contact lenses.
Most (but not all) animals have eyesight, or the ability to perceive things using eyes. The exceptions are a few nocturnal or underground animals, and those whose eyes or nervous systems are damaged. Eyesight is an amazing sense, giving the average person the ability to distinguish between millions of colors and focus on more than 50 objects per second. The word eyesight was used by 1200, making it about a century older than the word vision.