The only cosmetic enhancement Hugh Jackman is believed to have taken is an eyelift. If one compares his early pictures with the ones taken a few years back, a slight puffiness which was present around his eyes earlier is no longer there.The actor might have opted for a blepharoplasty commonly known as an eyelift to get rid of the bagginess and excess skin around his lower eyelids.
Apart from the eyelift, Hugh has also had two other minor surgeries. These however were for purely medical reasons. He had the surgery in order to get skin cancer removed from his nose. There were no underlying intentions of a cosmetic enhancement behind the surgeries.