I know this might sound like a strange combination, since most of the drama in arranged marriage dramas comes from early misunderstandings or antagonism gradually giving way to love (e.g., Prisoner of Beauty, Intense Love, etc.), but I'd really like to watch an arranged marriage (or arranged relationship) drama where the leads fall in love quickly and work together to overcome adversity (rather than stupidity/miscommunication). Do any dramas like that exist?

Thanks for the recommendations! Please keep them coming. 

I've seen and liked New Life Begins, Marry Me! (the Japanese one), and A Familiar Stranger. I've seen but wasn't such a huge fan of Sweet 18 and General's Lady - I think for the same reason: in both of those the relationship is constantly plagued by internal problems due to the immaturity of the FL. 

I haven't watched Hapimari yet. To be honest, I've been avoiding it bc the comments say that (1) the ml is a jerk, and (2) there are lots of misunderstandings. If that's true, it'll be really hard for me to enjoy it. But if it's not, then I'll give it a shot.

Also, maybe it would help to know that two of my favorite romance anime are My Love Story!! and Tonikawa.