The lack of bicycles in post-apocalyptic sci-fi settings is pretty odd. For instance, in Fallout, a computer game, which granted has more of an alternate-history-post-apocalyptic setting, doesn't have any bicycles, not even in junkyards. Seems like it would be the go-to transportation method if cars don't work - as previously noted, bicycles don't **** everywhere.
Did The Postman have bicycles? How about The Road? Mad Max?