While you can come across good deals every once in a while on big carriers like British Airways and Iberia, a guaranteed way to find cheap flights is through low-cost airlines. New no-frills airlines are part of a booming European industry aimed at making Europe seem smaller and much more accessible no matter what your bank account says! Also, be sure to check out airlines running in and out of Valencia's airport as well- it could expand your options and it's only 40 kilometers away.
Several low-cost airlines offer cheap tickets to and from Alicante's airport:
-Aer Lingus
-Vueling
-Air Berlin
-EasyJet
-SkyEurope
-Futura