Is one eye bigger and higher than the other? (Photo)

Eye asymmetry is very common. It can be subtle to obvious. Your eye asymmetry is likely due to eyeball and orbit asymmetry with related eyelid asymmetry. Improvement is possible. Need personal consultation. Skype consult available.

Thank you for the photo... Your right eye does appear larger, but look results from the lower of the right lower lid, this is called lid retraction.   I suggest you see someone who is an oculoplastic surgery and have your thyroid check.  There are many reasons why this can happy, and you need to know that you dont have any serious problems going on.... 
Dr Z

Hi. You do appear to have mild asymmetry.  This can be due to the actual position of the eyelid, or where the eye itself sit in the orbit (the eye socket). Mild facial symmetry is very common and may be normal. Sometimes facial or eye asymmetry is part of a disease process.  Improvement can be possible with surgery, but a detailed examination is needed to determine a cause as well as your best options. Hope this helps. Best regards, Ira Vidor, M.D.