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.

Bill Erickson

This is a helper plugin to allow you to build WordPress queries using WordPress.com stats.
This plugin uses the WordPress.com stats (packaged in Jetpack) to find out your most popular posts. You must be running Jetpack for this plugin to work. I recommend running Jetpack for at least 30 days to get useful data.
It asks for the 100 most popular posts over the past 30 days. This includes both posts and pages, since their stats don’t let you filter based on post type. I filter this list down to just posts and then store its ranking as post meta (‘be_stats’).
You can <a href="https://gist.github.com/billerickson/4997202" rel="nofollow ugc">write custom queries</a> to list popular posts, or use the <a href="https://wordpress.org/extend/plugins/display-posts-shortcode/" rel="ugc">Display Posts Shortcode plugin</a> to do it for you. Examples using the shortcode plugin:
[display-posts orderby=”popular”] – Lists the 10 most popular posts 
[display-posts orderby=”popular” posts_per_page=”4″] – Lists the 4 most popular posts 
[display-posts orderby=”popular” posts_per_page=”4″ tag=”basic”] – Lists the 4 most popular posts tagged “basic”
<h3>For Developers</h3>
There are a few filters available to you for customization. Refer to the plugin’s code for more information.
be_stats_args – arguments passed to WordPress.com Stats API. 
Default: array( ‘days’ => 30, ‘limit’ => 100 ) 
Example: http://www.billerickson.net/code/customize-be-stats-arguments/
be_stats_update – Conditional for determining if stats data should be saved 
Default: ‘post’ == get_post_type() 
Example: http://www.billerickson.net/code/be-stats-change-ranking-conditions/

BE Stats

Keeps track of your most popular posts for display in site

Jetpack Popular Posts vs BE Stats