This problem sounds similar to "1990 camry starting problems" posted by Georgii2222 yesterday.
Turn key, no click, no noise, no crank. Strong battery, all electronics work fine so am thinking it's worn parts, but where? Could be the ignition switch, steering gear or shifter interlock.
Have tried newer keys, problem persists. But if you move the shifter to neutral, move the steering wheel side to side and then turn the key, car starts. Any ideas of where to start, how much trouble / cost to fix? Also, because of air bag, is this something that a "real garage" should handle? TIA, F