Sanji keeps his hands in his coat pockets unless he needs to cook or eat, reinforcing his belief in only using his hands to cook.
In the original version Nami has a normal childhood despite being adopted by a single mother; there's no implications that she was poor and hated her life.
The title references "The Girl with the Dragon Tattoo."
Zoro insults Sanji by calling him a waiter. Unlike the original where he calls him cook.
Nami buried her money by her mother's grave. Rather than in the tangerine Grove in the original version.