Best way to take Flash graphics/animations on web sites to HTML5 to play on all devices?

I have a number of web sites that have different elements I created in Flash. Galleries, menus, animations, etc. I need to make them playable on smart phones...including iPhones, and iPads/tablets. I don't want to go the "publish it as an app" route. Such as PhoneGap.  Are there other ways to do it? Or is this the work flow that everyone is going to?

Thanks