I disagree with @Don Glasgow regarding credit scores. I have not found them to be a good predictor of a good tenant. I have had several divorcees with terrible credit scores who turned out to be ideal tenants. European transplants for whom I was the first landlord in America--paid in cash, extremely clean. Also, some young folks who had just landed good jobs after college.
Interviews with former landlords and employers are far more valuable. Also, a wise landlord once advised me to judge a tenant by the car. Is the car clean, well-kept, or trashed? How they keep their car is how they will keep their home. I admit I now keep an eye on the car when an applicant shows up for a viewing.
In the area where I am, the type of tenant that will pass the requirements of @Chris Kennedy are most likely folks who are moving here and will be moving out soon when they buy a home--this may be different due to the market economics in a FL or CA.
I prefer tenants that have a longer term perspective.