[рони]

Pavel_16,
для начала можно так
рекорды

if (localStorage.getItem("users") === null) {
    localStorage.setItem("users", JSON.stringify([]));
}

let users = JSON.parse(localStorage.getItem("users"));
let userName  = localStorage.getItem("userName");
let time = localStorage.getItem("time")
users.push({userName, time});
localStorage.setItem("users", JSON.stringify(users));
for (const item of users) console.log(item);