Today, you can still get birch doors – although they will be a little thicker. Order them with a ‘radius,’ or slightly rounded edge profile. Traditional (3/4) overlay would be typical, but you can go with full overlay as well, you certainly did see that especially moving into the 60s. The photo above is 1963.
The dark tone door featured on the left is from Omega, I also think Cabico makes a good product. As you can see from the photos above, there are a number of ways to approach the color/finish – “classic” as in the thumbnail, and for a more modern look, darker and/or colored stains.
In this latter approach, once you are mixing and matching 3 or more door colors you are creating a “Mondrian” style kitchen – certainly a trend you saw in the 1955-1965 period.