Facebook – see all the comments left on a Facebook app

Register your domain to insights and see what you get. (Takes about a day to collect the data)

http://www.facebook.com/insights/

I wish I could vet this for you but the site I currently administer is currently down. I will update and test the moment I get it back up.

For Example, The Facebook Page though for the domain shows

• Likes
  • Daily New Likes
  • Daily Active Users
• Interactions
  • Daily Post Views
  • Daily Post Feedback

You can also just inspect the pages themselves in the case of the like button

https://graph.facebook.com/?ids=http://www.imdb.com/title/tt1375666/ This gives the object info for the Inception Movie from IMDB

{
   "http://www.imdb.com/title/tt1375666/": {
      "id": "110935752279118",
      "name": "Inception (2010)",
      "picture": "http://profile.ak.fbcdn.net/hprofile-ak-snc4/hs275.snc3/23312_110935752279118_3281_s.jpg",
      "link": "http://www.imdb.com/title/tt1375666/",
      "category": "Movie",
      "description": "Directed by Christopher Nolan.  With Leonardo DiCaprio, Joseph Gordon-Levitt, Ellen Page. In a world where technology exists to enter the human mind through dream invasion, a highly skilled thief is given a final chance at redemption which involves executing his toughest job till date, Inception. Visit IMDb for Photos, Showtimes, Cast, Crew, Reviews, Plot Summary, Comments, Discussions, Taglines, Trailers, Posters, Fan Sites",
      "fan_count": 22285
   }
}

The activity feed will take care of displaying stories both when users like content on your site and when users share content from your site back to Facebook. The Like Box is just an aggregation of Likes. Login Button and Friends Pile share the same display functionality.

I am not sure how the Live Stream operates have not had an event to test it with yet.

This page has an FAQ section:

http://developers.facebook.com/docs/reference/plugins/comments/

which contains:

How do I access the comments left on my site?

The comments for every URL can be accessed via the graph API. Simply go to: https://graph.facebook.com/comments/?ids={YOUR_URL}

For example, the comments on this URL can be accessed via: https://graph.facebook.com/comments/?ids=http://developers.facebook.com/docs/reference/plugins/comments.

Also there is a link from that page to this blog post.