Penguin Musume♥Heart

Both series have female lead characters who are obsessed with anime, manga and otaku culture. 

Both are about a group of school girls that do comical things. The main character for both shows is a self proclaimed Otaku. Penguin Musume's main character however is also incredibly rich, which often makes things even more funny. 

Its really similar, since they have the "Musume" word in the name too.. But the randomness and the characters are pretty similar also. Tho it dosen't have the ecchi of Penguin Musume, Ika Musume is surprisingly good and fun to watch. And also, it has many weird characters xD. 

Both are ONAs, both have the comedy genre, and have unique characters. Penguin Mutsume Heart is set in a school and slice-of-life while Yutori-Chan is set in a workplace. Both feature moe. 

Both are very fast-paced and random comedy series with ecchi and short episode length featuring a number of girls at highschool. 

Penguin Musume = on half is a parody serial. Seto no Hanayome = is the most parody serial ever! so u must! ^__^ see it) *many jokes, parodies,unforgettable serial ^.^  

Overaction and sometimes absentminded main characters.  

best friends randomness laughing need more  

You can find the same amount of randomness in both anime 

insanely rich, anime/manga crazed girl