My new rav4 adventure's radio will not turn on unless the car is running.

At very cheap rates you can go for manuals from this store. Just check

TOYOTA RAV4 SERVICE REPAIR MANUAL 2006 2007 2008 2009 DOWNLOAD

check the ignition itself

yes check the wiring

Did you check for power going to the starter. could be a connection on that side of things. should be able to pull starter and jump batt to it to see if gear pops out and spins.

renew the lock but take the chips out of the keys and put in the new keys

You've got a blown fuse. Check your fuse box.

YOU NEED A NEW RADIO. INTERNAL CONCERN. THEY BE SENT OUT FOR REPAIR. CK COST MAYBE CHEAPER TO BUY A AFTERMARKET UNIT OR GO TO EBAY

Replace the CD player. To pull the plastic baffle off the dashboard: Adjust the heating vents so they point downwards. Grab the plastic bar between the heating vents and the stereo. Pull. Remove the screws from the front of the mounting brackets. Pull out the crappy stereo. Unplug the antenna and the wiring harnesses. Transfer the mounting brackets to your new stereo. Cut off the big wiring harness (unless you're lucky enough to have a replacement stereo that accepts the same kind). Connect the wires to the wires on your new stereo's harness. For more info: check the website: http://tomclegg.net/toyotastereo

if it doesn't have an aux jack, you will have to get an adapter that plugs into your cigarette lighter/ power source plug. then you can tune to 88.7fm(unless a different channel is specified)