What can be done to correct the appearance of my thick, puffy hooded upper eyelids after hyperthyroidism? (photos)

You may benefit from upper blepharoplasty. It is important to have more detailed and evaluation with an expert to determine realistic expectations.

Hi upper lid hooding is common as we ageIt is best I can assess you thoroughly in person but your situation could be a combination of any of TED, excess skin/fats, edema, or ageingIn my hands you would likely benefit from an eyelid lift surgery to reduce the hooded appearance.  Thank you

Hyper thyroidism can affect the upper eyelids, but the eyeball position being pushed forward is the classic symptom and more common.
At this point, I think you should get an assessment and consider treatments irrespective of your history of hyperthyroidism.
It would be helpful to know when your first picture was taken in relationship to the last picture.
Five or more years can have a significant impact on our facial appearance.
Consult with Plastic surgeons, facial plastic surgeons, or oculoplastic Surgeons in your area.
Best,
Mats Hagstrom MD