i really like the la brea tar pits total cheesy touristy stuff but its cool they have a ton of tar pits.. there web site seems dorky but its interesting in person. plus its FREE
http://www.tarpits.org/index.html
edit:
used to be free now its 7 bucks gayy
x2 on holly wood studios(but thats something that will take all day an cost 35+ per person) http://www.universalstudioshollywood.com/
personally if im going to use a whole day to do some thing go to six flags magic mountain it is just as good if not better then ceder point. (beware though its built on a mountain. ALOT of up an down hill walking
http://www.sixflags.com/magicmountain/index.aspx
there are some Museums for free to go in
http://www.californiasciencecenter.org/MainPage.php
http://www.getty.edu/museum/
here is a site that gives 100 free things to do
http://discoverlosangeles.com/play/activities-and-recreation/activities/100-free-things-to-do.html
go do the pacific coast highway.http://www.sixflags.com/magicmountain/index.aspx
driving up to see the holly wood sign(getting there snakes you threw some high $$$$$$ areas where you can see amazing houses an if your lucky a celebrity.
also food wise. hit a fast food restaurant called IN an out.. get your self a double double fries an a shake. all made in the store fresh it is A M A Z I N G mmm you cant miss the sign eathier
http://www.in-n-out.com/
also any Mexican food restaurant that ends with bertos weather it be allbertos jill bertos joebertos hillbertos just do it an get a carne asada burrito .. (these burritos were where chipotle came from) mmm they are also cheap usually 3-5 Dollars an you wont eat more then one trust me there huge
have fun bub. just don't venture off into bad neighborhoods i don't want to see you on the news as local tourists killed
http://www.streetgangs.com/maps/southla_turf.html