The Leica A of 1924 had a 5cm f/3.5 Anastigmat lens...that kind of cast the die I believe for 135-size cameras as to the "normal" or "standard" lens. Before too long, other companies were making "miniature" cameras that had 5cm (aka 50mm) 'normal' lenses. I had always heard that a lens of 50mm focal length was relatively easy to design and manufacture, and have a good all-around optical performance, back in the pre-WW II days.
Some of the earlier focal lengths "stuck" quite nicely, like the 3.5cm wide-angle, while other lengths, like the 65,75,and 90mm lenses had varying lengths of popularity. In the rangefinder days, a 135mm telephoto was about as long as was practical, both for accurate focusing and for decent viewfinder framing. The Leica 90mm was actually MUCH more-popular than 135mm; 135mm is really more of a focal length that caught on in the 1960's, once SLR cameras took over from rangefinder designs.
28mm was a pretty popular wide-angle length for several decades. Leica's M-series 21mm only came into being in the early 1960's I believe. 25mm was more popular than 24mm, until 24mm took over. At various times, 55mm and 58mm "normal" lenses were popular for 35mm SLR cameras.