What topical therapies do you most commonly prescribe for rashes near the eyes?

This is a difficult question because the term "rashes" is extremely broad! I think that as in most of medicine, moving through the appropriate steps is critical. There can be a rush to move towards treatment, but remember, there is an order to medicine:

History -> Physical -> Diagnosis -> Treatment

Depending on the results and information from the first three steps, the treatment can be extremely variable. For this reason, any chronic periorbital eruption not responding to conservative treatment...