Suzumiya Haruhi no Tsuisou

After Kyon activated the emergency escape protocol, an error in the time plane pulls him into the alternate world of the Disappearance — where none of the SOS Brigade members know who he is. He starts over from scratch: befriending Haruhi through a band she decides to form, helping Koizumi and Asahina through a pair of competition events, and supporting Nagato's book sale at the Literature Club. He makes it back to his own world, but goes back once more to help the alternate Brigade film a movie. Before leaving again, he returns Nagato's club form to her with his name on it — so the SOS Brigade will exist in that world too, and she will not be alone. Back home at the nabe party, he asks Nagato if she would like to visit the library with him. She says she will think about it.