People may think that they need their upper eyelids done, but all that extra upper lid skin is really due to the fallen brow/forehead complex. To correct this, the forehead/brow needs to be lifted and/or re-inflated to where it used to be. Forehead and brow lifts have been done for decades and many techniques are available to accomplish this procedure.
The most acceptable cosmetic result is generally one that has smaller/fewer visible scars. This can be done with several minor incisions hidden in the superior and temporal hairline where sutures can be placed to support the brow tissue similar to an endoscopic surgery, but without the cost of the equipment. Extra tissue is removed and the incisions hidden.
You can also reposition the hairline more forward while removing excess skin, with the scar hidden behind the hairline. In the past, a full coronal cut across the top of the head to pull up all the excess forehead skin was offered. This sometimes raised the hairline to an unnatural height, and resulted in numbness, so it is no longer the preferred surgery for this problem.