There aren't many historically-valuable sights in St. Anton am Arlberg, but you'll probably find a map useful. Be sure to visit the churches of St. James and St. Antonius, which are open during the day. Services are held on weekends. Photos of these sights are sure to refresh your memories of St. Anton am Arlberg. The monument to the pioneering skier Hannes Schneider (1890-1955, Hannes Schneider) is located in the Ferienpark, in front of the Museum of Skiing and Local History.
If you have a diagram of St. Anton am Arlberg with sights, check out the Museum of Skiing and Local History, where the museum showcases the history of skiing. There's all of St. Anton's history here, including important events like the construction of the railroad and tunnel. The museum is home to a fine restaurant.
If you're visiting St. Anton am Arlberg in the summer, the Ferwall reservoir, which provides electricity for all of St. Anton, should probably be added to the description of attractions. It's also fabulous views of the mountains reflected in the smoothness of the water. If possible, print out a map of St. Anton am Arlberg sights with names and in Russian, it will help you get your bearings. It's hard to get lost here, as it's a small town with plenty of landmarks.