For some reason, there is not a ton of info on this! I searched and searched when we were in the same boat, er, plane, as it were.
The first year we rented a Limo - I would pass along the company name but I do not recall it 100%. Our driver's name was Richard and I think he only had the one car....it was $75 each way. Try Limos.com and see what works for you.
This year we rented a car. We got in a day early and drove to some of the sights in Long Beach. We also used the car to go to the grocery store and the Disney Outlet store. I think the total for the 8 days was $200. Yes, alot, but we had the freedom to run out on an errand (late night grocery trips, etc.) when we wanted without worrrying about public transportation. ETA: This is very important to DH!
My mom and sister rented a shuttle van for drop off and pick up. I believe they paid $60 each way - total of 6 passengers (4 kids, 2 adults). I don't think it was Super Shuttle, but they do have fare calculators on their website. You can also go to the Long Beach Airport website - they have links to Ground Trans. There are numerous shuttle vans/buses at the airport. If you are comfortable "winging it" (I cannot - I am a notorious overplanner), you can get off the plane and hail one of these.
HTH
Amy