"供乘骑的游乐设施" can be translated into English as "amusement rides for riding" or more naturally and commonly as "amusement rides" (when the context clearly implies they are for riding).
In the amusement park or entertainment industry context, "amusement rides" is a widely recognized term that encompasses various types of rides designed for entertainment, including those that passengers ride on. If you want to be more specific about the riding aspect, you could add a descriptive phrase like "amusement rides for passengers to ride on," but "amusement rides" alone is generally sufficient and concise.