I found a bunch of international F menus with the query (don't forget to remove the brackets):

["onboard menu guide" flagship -domestic site:http://aacdn.s3.amazonaws.com/galleys/*]

Add a few more words (occasionally airport codes, like NRT) to the search term to narrow by region and/or destination. I've been looking around to see if I can find the "cycle" schedule for each region, but no luck so far.