If you love rails and train routes, your next stop should be Railroad Museum. The displays here tell the story of the role trains have played throughout history.
You'll be spoiled for sightseeing choice in Amberieu-en-Bugey. Railroad Museum is a good place to kick off here, but there are numerous other worthwhile attractions to discover. Golf de la Sorelle, Chateau des Allymes, and Ain Karting are near the rail transportation exhibition and will top off your day nicely.