Some of these websites might give you a long list of
Fly on multiple airlines. Looking for flights on single airlines may be the easiest, but you may have better results if you look into flying on multiple airlines. Try taking one airline to your destination, and a separate one from. Or, include a layover with another airline mid-flight. Breaking up your trip and splitting it between carriers is likely to save you money, which is worth the extra time and hassle it will cost you.