"While everyone else gets a tan, I stay as white as a ghost" or "I stay as pale as a ghost" are a bit more natural.

"While everyone gets a tan, I'll continue being ghostly white." or "While everyone gets a tan, I am still ghostly white." Though, I think 'pale' is better to use than 'ghostly white.' "While everyone gets a tan, I'll continue being pale." or "While everyone gets a tan, I am still pale." :D

While everyone else gets tan, I continue being ghostly white.