Sure. 'The Hunger Games' can be seen as an alt story in a sense. It presents a future where the Capitol has extreme control over the districts through a cruel game. It's different from the usual utopian future scenarios often presented. Also, Neil Gaiman's 'American Gods' is an alt story as it weaves together different mythologies in a modern - day America, creating a whole new narrative that is far from the normal contemporary stories.
One example is 'The Man in the High Castle' by Philip K. Dick. It presents an alternative history where the Axis powers won World War II. Another is 'Annihilation' which has an alternative take on a strange, otherworldly area and the events that unfold there.