Eye: History, Examination
  1. History
  2. Inspection
  3. Visual acuity
  4. Visual fields
  5. Ophthalmoscopic (fundi)
  6. Pupils
  7. Corneal reflections
  8. Eye movements
  9. Corneal reflex

In all, looking for asymmetry, deformities, discoloration, redness, discharge, lesions.

Visual acuity

If  eye pain, injury, visual loss, check visual acuity before rest of the exam or inserting medications into eyes [so don't get sued].

Visual fields
Ophthalmoscopic (fundi)
Corneal reflections
Eye movements
Corneal reflex