Ushinawareta Mirai wo Motomete, Irozuku Sekai no Ashita kara Recommendations
Both of these shows include a white/silver haired female protagonist traveling back in time; this decision being made by another character in the show. Another aspect these two have in common is the fact that there is a group of other characters who later on become friends with the female protagonist. Romance is prominently seen in both series. Both incorporate the school setting.