Why is One Eye Bigger and 'Higher' Than the Other? (photo)

Review of your clinical history and
pictures suggest that youmight have a condition known as Graves disease. This
disease can cause a variety of changes that effect the eye. In some cases the
eyeball is actually enlarged by a condition known as exophthalmos. This
condition can also effect the eyelid, eye soft tissue, eye muscles, cornea and
even the optic nerve.

                  In
addition Graves disease can cause hyperthyroidism which can cause significant
systemic problems. Examples include insomnia,
hyperactivity, hand tremors, hair loss, excessive sweating, palpitations,
muscle weakness, weight loss, panic attacks, cardiac arrhythmias and elevated
blood pressure.

                  Your
symptoms and physical findings suggest a diagnosis of Graves disease. It’s
important that you undergo a comprehensive medical evaluation to address this
problem. It’s important that your hyperthyroidism and eye changes both receive
appropriate treatment. This may require an endocrinologist and an
ophthalmologist who specializes in this type of problem. 

Many different situations can lead to uneven eyelids. Some of these can be treated non-surgically and conservatively, even using some very advanced injection techniques with filler or very precise placement of Botox. Some situations truly do require surgery to resolve. 
It is important that you seek a consultation with an eyelid expert to delineate the exact cause and treatment options.
To ensure you are receiving the highest level of care, seek out a modernly trained, new-school dermatologic surgeon, oculoplastic surgeon, facial plastic surgeon or plastic surgeon who is board certified and fellowship trained in one of these "core four" cosmetic specialties. Membership in organizations like the American Academy of Facial Plastic and Reconstructive Surgery help to identify a highly trained surgeon.
Cameron Chesnut
#realself500 Physician

#eyelid surgery for asymmetryPatients who would benefit from a
blepharoplasty include those who experience:#Asymmetry of the eyelids.

Excess skin or sagging of the upper eyelids (which can obscure
vision)

Excess
upper lid skin or hooding may be due to brow positionyour eyes have minimal and normal differences but see your PMD or ophthalmologist

From your photograph and physical symptoms it looks and sounds like Graves Disease. It is common in this condition for an eyelid to retract upwards giving the startled appearance. After 1 year of stable appearance, the eyelid can be repaired by an oculoplastic surgeon. Artificial tears may be needed to prevent dryness. See your internist for some blood tests including thyroid function.  

You have a very minor degree of asymmetry if your eyes, which is not uncommon at all. I would consider the degree of asymmetry to be within the normal range.  However, it sounds like you have some other issuers which should be looked into further by your primary care physician.