One vehicle that I thought about was the Chrysler 300 letter series (A, B, C, D, E, F, G, H, J, K, L) that was produced from 1955 to 1965. A convertible model was introduced in 1957. Some of these models were equipped with an automatic transmission. However, I still think that the pushbuttons were to the left of the steering column. I’m not certain about this however. Furthermore, there were very few Chrysler 300 letter series sold, particularly convertibles, so this would be a rare possibility.