Here's an easy way to get to the stadium without a car from LAX.

This is a Google Map of all of the specific points of interest that you will need to know.  Go here:  Google Map

The trip should take you approxiamately 1 hour and 35 minutes to get to the entrance of the Rose Bowl from your departure on the Flyaway Bus at LAX.  The Flyaway Bus leaves LAX every 30 minutes.  Passengers board buses on the Lower/Arrivals Level in front of each terminal under the green "FlyAway, Buses and Long Distance Vans" signs. Each bus is marked with its service location.

You pay your $7.00 fare once you arrive at Union Statoin (Sit in the front of the bus so that you will be first in line to pay at the kiosk).

Proceed down the ramp to Union Staion.  You will enter through the east entrance.  Follow the signs to the Metro Gold Line.  You will take it to Pasadena (The last Station is Sierra Madre Villa).  The fare is $1.25 to the Memorial Park Station.  This should take 15-30 minutes.

Go around the corner to Walnut and North Fair Oaks.  You can wait in line for the FREE shuttle to the Stadium, or continue down Walnut, across North Orange Grove, to Arroyo Terrace Lane.  There you will find a dirt path that will take you down to the Arroyo Seco. Once at the bottom, you will have a 15 minute walk to the south entrance to the Rose Bowl.

Do the reverse to get out.  You will be able to walk out much faster than waiting for the shuttles.

Interested in going to the Rose Parade? The map includes two of the best viewing areas: Ideal parade spot - the parade will start  here sometime between 8:30 a.m. and 9:00 a.m.  Do you want to sleep in and still see the parade?  Check out the alternate parade viewing spot: leave LAX at 8:00 a.m., and still make it in time to see the parade start here at 10:00 a.m.

Good luck and Happy New Year!