In every picture I take my face appears crooked, particularly my eyes. Why is this? Is it just my bone structure? (Photo)

You have a facial bony asymmetry.  Your whole eye socket is lower on the left side and the eye may also be further back.  Your brow is also lower on this side.  You have had this all your life but it may become more noticeable with aging changes in the face.  

Your face is asymmetric and it is largely from the differences in the underlying bone structure. Your left side has a bigger brow bone, a weaker and lower cheek and a chin point that deviates to that side. In addition your left eye sits lower than your right one. You have a definite left facial asymmetry for which there are numerous procedures to achieve better symmetry

In every person, there are some asymmetries apparent. In your face, the left side seems a bit smaller than the right.

Your anatomy is asymmetric. Thus in person while in action it is not noticeable as in fixed still photos...