How to find the anime you are looking for:-
MAKE SURE THAT THE ANIME STARTED TO AIR IN 2010!
Make Sure that it was a TV anime(i.e not a OVA or WEB)
Find its official title on Anime-Planet
100% opinion. This is as of what I've seen so far, and is subject to change with new experiences. And no, I haven't seen School Days. Yet.