Facebook users will now see their friends’ scores and achievements in social games through three new News Feed story types: achievement stories, high score stories and passing stories, the company announced in a blog post. Another unannounced item, “Play It Again,” encourages users to go back to games they’ve already tried.

The social network continues to experiment with ways to drive discovery and re-engagement for games as some developers begin to doubt the viability of the platform. Facebook says there has been a 60 percent increase in new users installing games by clicking on feed stories since launching an aggregate “playing” story. Now it hopes to drive additional traffic through scores and achievements posts. Examples of the three new story types are shown below.

Facebook says the stories that get the most clicks, likes, and comments will get more distribution in News Feed and on Timeline.

We’ve also seen the social network testing a module on the right sidebar that prompts users to return to games they’ve already installed. Facebook’s other efforts at re-engagement have been in the form of bookmarks and notifications.

Our sister blog, Inside Social Games, wrote last week that game discovery on Facebook is still no easy task, but we recognize the company’s creative attempts to solve the problem while protecting the user experience.