The voice actresses for Chinatsu and Yui in Yuri Yuri do Yuzuko and Yui in Yuyushiki. Even though Yuyushiki has only released a single episode, I can confidently say if you liked Yuru Yuri, you'll like this anime as well.
K-on! And Yuru Yuri♪♪ are both very energetic animes, something that you would both watch and feel a fat off smile after each episode. The reason why I would recommend watching K-on! Is because they both have the same sorta building blocks as each other. They both contain cute little girls, and both about their daily lives, which are situated around their highschool club. However the main difference would be is that K-on! Is more solely based around achieving a certain goal, whereas Yuru Yuri♪♪ tries to become more funny rather than focusing a big plot.
Both anime provide an joyful experience packed with scenes of ultra-cuteness.
Both anime focus on Lolita based humor.
Both anime made me smile 100% of the way through.
Both anime have great openings that will stay in your head for days.
Both anime are based on an entirely female set of characters.
Both anime are short, but well paced.
Both anime are second seasons.
Both are popular moe anime.
Both are about cute girls doing cute things.
Both have very memorable and very funny scenes.
Both are an improvement from the first season in my opinion.
Yuru Yuri is focused more on humor, while GochiUsa is more focused on moe.
The finale of Season 2 of Yuru Yuri and the OVA of Otome wa Boku ni Koishiteru are very similar and both very funny - taking the cast of characters and putting them in a comedic and off-color version of Snow White/Cinderella.
A bunch of girls just being silly in both shows. Nichijou is far superior though. Actually, if you've enjoyed either season of YY you must watch Nichijou. It is a masterpiece, quite possibly the Azumanga Daioh of this decade.