Chuunibyou demo Koi ga Shitai!, High Score Girl Recommendations
They both have romance, action, plenty of fighting and competition, and yet they BOTH lack the SAUCE, expect to see zero physical affection in these anime.
Both has romance and school plot
Both main heroine afraid and shy if want to closer with male lead
Both heroine have Dandwre type
It invloes guy who finds himself stuck with a odd kind of girl and his life was never the same again.
Another vote for Chuunibyou... not quite the same, but def warrants a rec IMO