There are several reflexes that infants exhibit at birth. Some remain for the rest of your life, some disappear at the end of the neonatal period or shortly thereafter. Here is a list of some interesting ones:

Moro Reflex
Palmar Grasp
Eye Blink
Withdrawal
Rooting
Sucking
Swimming
Tonic Neck
Stepping
Babinski Reflex

(Have patience with me, I know most of these links don’t work. I’m working on it)