Books like Re:ZERO -Starting Life in Another World-, Vol. 1: Chapter 1: A Day in the Capital

Subaru Natsuki was just trying to get to the convenience store but wound up summoned to another world. He encounters the usual things--life-threatening situations, silver haired beauties, cat fairies--you know, normal stuff. All that would be bad enough, but he's also gained the most inconvenient magical ability of all--time travel, but he's got to die to use it. How do you repay someone who saved your life when all you can do is die?