Try Jet Blue for a non-stop. They fly into Burbank and have decent prices. Other airlines into Burbank are Southwest, American, United and Delta.
I live in Burbank and used both our airport and LAX a lot for weekely business flights. Keep in mind that Burbank does have limited flight times and the latest departure times heading back to NY will be around 2:30 - 3pm. There are no red-eyes out of Burbank.
If going back late on the last day is important to you, then definitely check LAX. If low stress arrival and departure is more important, Burbank is your airport! One of the easiest to go in and out of.