Rembrandt Lighting:

This photo is an example of rembrandt lighting because of the small triangle of light under the subject's eye.

Loop lighting:

This photo is an example of loop lighting.

Butterfly/Glamour lighting:

This is an example of butterfly lighting because of the butterfly-shaped/ odd shaped shadow underneath the subject's nose.

Split lighting:

This photo is an example of split lighting due to half of the subject's face being dark, while the other half is facing the light/lit up.