Continuing right where season 1 left off: Harima still likes Tenma but still runs into obstacles everytime he tries to confess his love to her. To complicate the situation, Class 2-D challenges class 2-C once again and there's a rumor floating around that Harima and Yakumo are dating as the school prepares for the cultural festival. 
(Source: Anime News Network)

Tsukamoto Tenma is an ordinary 2nd year high school student who has fallen in love with one of her classmates, Karasuma Ooji. However, currently she is unable to confess her feelings to him. To make things worse, she found out that Karasuma is transferring to another school in a year. On the other hand, Tenma's other classmate, Harima Kenji (who is a delinquent) is also in love with Tenma. Not being able to confess his feelings, Harima gets depressed day by day. 
(Source: Anime News Network)

A short 2 episodes attempt to conclude the series. Karasuma goes to America after then end of the third term. Will Harima finally confess? What will happen with Tenma and Karasuma?

Second-year student Tsukamoto Tenma learns that her secret crush, Karasuma Oji, will be transferring to a school in America. In a last-ditch effort to reveal her love to him, she writes a long (but anonymous) love letter. When Karasuma ends up postponing his transfer for another year, Tenma realizes she has to tell him how she feels before time runs out again. But her extreme nervousness around him prompts her to try and setup all sorts of schemes to get close to him and let him know, without actually coming out and saying it. Meanwhile, unknown to Tenma, the school delinquent, Harima Kenji, has the biggest crush on her, as well as the same anxieties about being direct. Around this love triangle of clueless people are a few of Tenma's friends, and her younger (but older looking, more mature, and more popular) sister, Yakumo. 
 
(Source: Anime News Network)
 
Note: This manga consists of 283 sharp chapters and 62 flat chapters. Sharp and Flat refers to the musical notations.

This two-part OVA is a series of shorts in relation to the School Rumble series. This OVA fills in gaps with new content between episodes from beginning to nearly the end. 
Episodes: 
1) Smile, Please! Mammoth, Yum! May I Fall in Love? 
Yoshidayama continues his climb to the top of the bad boy rankings, Imadori tries to touch a tomboy, and Harima tries his hand at prehistoric heroism! Back to the more recent past, a moment in the dark sheds light on an assistant’s clandestine crush.
 

2) New-Term Excitement! To Be Near You Scramble! The Naked Truth! 

Yakumo befriends a foreigner - in between her clairvoyant activities and frequent cat naps. The Class 2-C seating arrangements put Tenma in a tizzy over sitting next to her heart throb, but a certain bad boy is stressing over sitting next to her! 
(Source: Anime News Network, Crunchyroll)

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