I use w3 Total cache.. I use the CDN, the Database Cache, and the Browser Cache… I do not use the object cache as it completely screws things up… the page cache will also completely screw your site up… I do not use the minify cache in W3, but I do use wp-minify for javascript and css compression….
I had problems with WP Super-cache, but I don’t remember what they were and they were obviously related to the page cache though…