What are common specific phobias?

Many. Some include a fear of spiders, a fear of snakes, a fear of altitudes, a fear of flying, a fear of being in large crowds, a fear of being in open spaces, a fear of being in closed and small spaces, and a fear of the number 13.
See below. Fear of needles, fear of heights, fear of flying... Here's more information: http://www.Ncbi.Nlm.Nih.Gov/pubmedhealth/pmh0001952/.