The Gambit Weekly
The classified section of the free Gambit Weekly newspaper is a good source of off-campus housing opportunities.
Zillow has created a specialized university housing page, http://www.zillow.com/loyola-university-new-orleans-la/rentals/, which identifies off-campus rentals within the vicinity of Loyola.
Craigslist is a national classified website that is segmented into metropolitan areas and is another source of off-campus housing opportunities in the New Orleans area.
Loyola University Off-Campus Housing
This page lists local rentals and has a roommate finding program, http://loyno.universityrentallisting.com/. Please note that some of the listings are quite far from the university and you should look up the locations on a map program.
College of Law
The College of Law has a great resource page for law students seeking off-campus housing or roommates: http://law.loyno.edu/apartment-listings