Toyota Cressida 1983 Problems

Booming noises like you describe are often caused by the exhaust, so check the exhaust system to make sure all the mounts are in place and in good condition. Compare the exhausts on both of your cars to identify any differences that might contribute to the noise.

The 1983 Cressida was designed to run on leaded Super when new, so should be run on LRP lead replacement fuel now. LRP has an octane rating of 96 which is slightly lower than the 98 octane Super available before 1986, but should still be the best bet for your car. If you hear the engine pinging on LRP, it's a sign it needs a fuel with a higher octane rating. If this happens you could then add a commercially available octane booster which will fix the problem.