Array.reduceとasync/awaitを使って関数を順番に実行する

Array.reduce()を使う

const axios = require('axios');

// https://qiita.com/asa-taka/items/888bc5a1d7f30ee7eda2
const sleep = msec => new Promise(resolve => setTimeout(resolve, msec));

const users = [
    'tj',
    'dougwilson',
    'jonathanong',
    'defunctzombie',
    'aheckmann',
    'slaskis',
    'ciaranj',
    'michaelahlers',
    'blakeembrey',
    'notrab',
    'riadhchtara'
];

async () => {
    const names = await users.reduce(async (prev, user) => {
        try {
            const p = await prev;
            const { data } = await axios.get(`https://api.github.com/users/${user}`);
            // rate limit対策
            await sleep(1000);
            return [...p, data];
        } catch (err) {
            console.log(err);
        }
    }, []);
};