プレゼンス

The protagonist lives a mundane and repetitive life until he meets a mysterious girl who disrupts the pattern by causing everyone's time to reset every seven days except for his own. He must decide whether to use this power to prevent misfortune from befalling the people around him or to indulge in selfish desires. As he interacts with various girls who also retain their memories through the time loops, he grapples with his choices and their consequences, ultimately leading to potential changes for the world and himself.

[Condensed from DMM]