Toyota Speedway Irwindale is an 1/8th mile drag strip, and also a small oval track
http://www.toyotaspeedwayatirwindale.com/index.asp
California Speedway - AutoClub Speedway in Fontana is a 1/4 mile . They also have a road course, and an oval. Karting in the parking lot.
http://www.autoclubspeedway.com/
Famoso 1/4 mile dragstrip is in Bakersfield.
http://www.famosoraceway.com/
Pomona Fairplex has a 1/4 mile dragstrip, but its not open very often, thank the neighbors for that.
http://www.pomonaraceway.com/trackinfo/
Willow Springs in Rosamond has Big Track, Streets of Willow, Horsethief Mile. They sometimes run drag racing at the track.
http://www.willowspringsraceway.com/home/home.asp
Buttonwillow has several configurations of road course.
http://www.buttonwillowraceway.com/