If you liked
Party kara Tsuihou sareta Sono Chiyushi, Jitsu wa Saikyou ni Tsuki
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...then you might like
A-Rank Party wo Ridatsu shita Ore wa, Moto Oshiego-tachi to Meikyuu Shinbu wo Mezasu.
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Show has a very similar start... MC gets taken for granted in his current party, and ends up leaving the group due to the mistreatment. He ends up partying with a newbie group, and makes his previous group realize too late that that MC was in fact the one carrying the group. He proceeds to cause his new group to excel and grow. There are some differences of course, but the overall premise is very similar.
If you liked
Kaichou wa Maid-sama!
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...then you might like
Ookami Shoujo to Kuro Ouji
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You get a very similar feeling to Kaichou wa Maid-sama when watching Ookami Shoujo. The main male character is a similar to Kaichou's in the sense that they're both "good looking" guys that everyone else in the school adores. They both don't really care about others, but does care a lot for the female protagonist and protects her. They also both tease the female protagonist as well (a lot meaner teasing in Ookami), but it's obvious something is going to grow between them. Only difference I see is that Kaichou has a strong female protagonist that can only be beat by the male, whereas Ookami's female protagonist is sort of weak emotionally and is somewhat of a pushover.