SoCal To Providence R I
 

Does anyone know what airlines, if any, fly non-stop from LAX, SNA John Wayne - Orange County or Long Beach to Providence, Rhode Island?

None that I'm aware of. Many offer one-stop service, and Southwest has a "direct" flight which means one flight number even though it stops en route.

None. Providence doesn't get long haul flights to anywhere.

You must connect through Newark, Chicago (O'Hare or Midway), Detroit, Dulles, Cincinnati, Atlanta, or Baltimore

My advice would probably be to fly SWA. Their connections usually aren't too long and the airport you go through isn't out of the way.

Thanks for your good ideas.
To simply the trip we are taking a non-stop United LAX-BOS. Even though Jet Blue flies over our house in the OC daily, its prices were too high. Didn't it begin as a reasonable airline??