I am having the same problem with my 2001 Rx 300, however my lights work etc and the vehicle turns over but it will not start. The dealer said it probbly flooded and told me to hold the pedal to the floor and then try again. May take 35 seconds or so.
Well it did not work for me, if anyone else has any suggestions I would appreciate it.
I did try disconnecting
the battery fo r20minutes again then put the key in and turned the accessory on to the right for 6 minutes. Did this twice in a row and still could not start it. HELP!