wkrzysztofik

This plugin allow to use new widget – Most liked posts. This widget displays list of posts ordered by number of Facebook likes. Number of likes is updated hourly by wp cronjobs. Plugin doesn’t require any additional configuration. Just install, add widget to your sidebar area and have fun!

Most Liked Posts

Wordpress widget displaying list of posts ordered by number of Facebook likes.

LordPretender

Similar to the original native one, this plugin let you define the range of stats to retrieve. 
Also you will be able to add the category name of the post.
Finally, this widget will only display posts (and not pages too). 
This plugin read the top 100 of posts/pages and keep only the X first POSTS (X = number defined in the widget parameters). So, you can have less posts than requested.
Jetpack is required to work. 
A wordpress account and your blog must be linked.
You can find a demo here : http://www.spoils.fr/ 
The widget is named “Articles populaires” on the sidebar.

Jetpack Popular Posts

Using Jetpack stats, this widget will display the most popular posts.

Most Liked Posts vs Jetpack Popular Posts