Saki Achiga-hen: Episode of Side-A

Main characters of both series aim to reunite with their friends in national tournaments of karuta and mahjong, respectively. 

Young girls that are reunited in a club (music in K-On!, mahjong in Saki), doing their best to fulfill their great ambitions. In Saki, though, they are more serious about it, really dedicating to mahjong in order to win tournaments (that they start right in the beginning of the series), while K-On!'s atmosphere is more light, and the girls are more doing for fun, even if their final goal is just as ambitious. I think that K-On! is far more developed and has more lovable characters, and of course the music helps a lot, but if you like the genre you might enjoy Saki as well. 

Both are about Mahjong but Mudazumo has just that bit more epicness attached to it!  

+Both have many loli girls and cute girls. +Both have a game/Sports . +Both have a guide to teach them game. 

An abandoned Club, Lost Friends, Flashbacks, Hopes and Dreams! Not to mention they're catagorised as sports! I feel that Saki and Free really provides similar Atmosphere, Everyone has their own special Characteristics, and forms a perfect Team! Provided that their artworks are very similar! 

Both animes have highschool girls that tries to recruit enough members to create a club, and has a story that is mainly centered around them, but Saki Achiga-hen is more of a serious sports club while Yuru Yuri is only a "Slice of Life" type of anime and their club is more lighthearted.  

While Saki: Achiga-hen - Episode of Side-A goes more for moe and light-hearted story, and Akagi has a dark and seemingly dangerous story, both of them revolve around that one major element: Mahjong. If you're itching for some more Mahjong, this series is the way to go. 

The main character enters the new school and starts a club/group that was long dead, and tries to recruit/get members (new and old) to revive it again.  

Hikaru no Go is an anime that follows young players of Go. It is silly, epic, and makes Go seem like one of the most intense games on the planet (slightly exaggerated). 

Both stories/plot focus on their clubs related to their sport/game. The group aspires to improve and aim higher and go on training camps for that purpose. Both anime are trying to reach the nationals to reunite and face their old friends again.