Yep, from JFK to LongBeach on JetBlue, there is a $99 oneway fare leaving on Sunday 11/21/04 at the following times (you asked for departing after 3pm)

4:00pm - arrive: 8:40pm
5:25pm - arrive: 9:50pm
6:30pm - arrive: 9:50pm

All leather seats, seatback live video, nonstop, inexpensive, and fun! What more can one want?

(P.s. - Yes, the JetBlue flight arrives at Long Beach, but it is not that far at all to LAX)

There are also other options - for example, Delta nonstop from JFK to LAX for $113 oneway (depart at 5:55pm, arrive at 9:18pm) or similiar options on AA also nonstop from JFK to LAX for $113 oneway.