Suzumiya Haruhi no Yuuutsu, Seikimatsu Occult Gakuin Recommendations
both full of random and supernatural events
Both contain espers, time travelers, and all things occult. Lead characters have a history of "not [being] interested in ordinary people".
Supernatural events and fantasy are a theme in both of these series. Additionally, both anime(s) deals with "aliens", espers, and time travelers. There is also emotion and comedy throughout the series as episodes progresses.