Cities of the second class and villages shall have power to (1) prevent and remove all encroachments, including snow, ice, mud, or other obstructions, into and upon all sidewalks, streets, avenues, alleys, and other city or village property, (2) punish and prevent all horseracing, fast driving, or riding in the streets, highways, alleys, bridges, or places in the city or village, (3) regulate all games, practices, or amusements within the city or village likely to result in damage to any person or property, and (4) regulate and prevent the riding, driving, or passing of horses, mules, cattle, or other animals over, upon, or across sidewalks or along any street of the city or village.