Higurashi no Naku Koro ni, Suzumiya Haruhi no Yuuutsu (2009) Recommendations
The Endless Eight episodes will definitely bring back memories if you watch this excellent horror anime.
Higurashi has an eternal June, while the Melancholy of Haruhi Suzumiya had an eternal August.
Both are solved by the most simplest/unlikely of solutions.
As well, everyone will definitely enjoy how the end results of Higurashi actually DOES change (unlike in Endless Eight, where Yuki Nagato states how some things were omitted, but those changes where never actually animated).
The "Infinite Eight" plot of Season 2 of Melancholy will give you a whole new appreciation for Higurashi no Naku Koro ni (and vice-versa). That I can guarantee.
Most of Haruhi season 2 contained a Time Loop arc (Endless Eight), similar to Higurashi's Endless June (which I have dubbed Endless Six), however, Haruhi's was much more repetitive and annoying.
However, keep in mind that Higurashi contains copious amounts of High Octane Nightmare Fuel, which is not present in Haruhi. At all.
Both have time repeating as a central plot.