 If you liked
Haikara-san ga Tooru
|
 ...then you might like
Mikakunin de Shinkoukei
|
Both have a reddish haired girl as protagonist, who was engaged to someone without her knowledge.
In Haikara, the protagonist moves to the fiance's house and gets to meet his family, in Mikakunin the fiance moves to the protagonist's house, bringing family members with him.
In both cases, the protagonist has to deal somehow with the new situation, and gets gradually attached to the fiance.
If you are interested in a romcom with an arranged engagement, both titles may be for you.