I've spent part of the morning catching up on trailers and this one for Minit [official site] - a lo-fi adventure game played out in 60 second intervals - caught my eye:
From the accompanying info:
"Minit is a peculiar little adventure played sixty seconds at a time. Journey outside the comfort of your home to help unusual folk, uncover countless secrets, and overcome dangerous foes, all in hopes of lifting a rather unfortunate curse that ends each day after just one minute."
Minit is made by Kitty Calis, Jan Willem Nijman of Vlambeer, Dominik Johann of Crows Crows Crows, and musician Jukio Kallio, and published by Devolver Digital. It's due on PC in mid-2017 and I haven't been able to find out much else, but it looks from the trailer like you use those minutes to build up your exploration and achieve or change little things.
Time looping is something I've enjoyed in games but which comes up surprisingly infrequently (I imagine it's probably a right pain to implement well). Majora's Mask is the example which springs to mind as you repeat the same three days over and over while trying to stop the moon from crashing into the world. The other example which I played last year at GDC was Twelve Minutes. It's an unreleased game by Luis Antonio about repeating a 12 minute cycle over and over as you try to dig deeper into a strange and terrifying turn of events by learning more each time you cycle through.
Anyway, I'm looking forward to seeing more of Minit turns out and how the tiny loops build into bigger actions.