2021 answer: just in case you land here looking for how to make GET and POST Fetch api requests using async/await or promises as compared to axios.
I'm using jsonplaceholder fake API to demonstrate:
Fetch api GET request using async/await:
         const asyncGetCall = async () => {
            try {
                const response = await fetch('https://jsonplaceholder.typicode.com/posts');
                 const data = await response.json();
                // enter you logic when the fetch is successful
                 console.log(data);
               } catch(error) {
            // enter your logic for when there is an error (ex. error toast)
                  console.log(error)
                 } 
            }
          asyncGetCall()
Fetch api POST request using async/await:
    const asyncPostCall = async () => {
            try {
                const response = await fetch('https://jsonplaceholder.typicode.com/posts', {
                 method: 'POST',
                 headers: {
                   'Content-Type': 'application/json'
                   },
                   body: JSON.stringify({
             // your expected POST request payload goes here
                     title: "My post title",
                     body: "My post content."
                    })
                 });
                 const data = await response.json();
              // enter you logic when the fetch is successful
                 console.log(data);
               } catch(error) {
             // enter your logic for when there is an error (ex. error toast)
                  console.log(error)
                 } 
            }
asyncPostCall()
GET request using Promises:
  fetch('https://jsonplaceholder.typicode.com/posts')
  .then(res => res.json())
  .then(data => {
   // enter you logic when the fetch is successful
    console.log(data)
  })
  .catch(error => {
    // enter your logic for when there is an error (ex. error toast)
   console.log(error)
  })
POST request using Promises:
fetch('https://jsonplaceholder.typicode.com/posts', {
  method: 'POST',
  headers: {
    'Content-Type': 'application/json',
  },
   body: JSON.stringify({
     // your expected POST request payload goes here
      title: "My post title",
      body: "My post content."
      })
})
  .then(res => res.json())
  .then(data => {
   // enter you logic when the fetch is successful
    console.log(data)
  })
  .catch(error => {
  // enter your logic for when there is an error (ex. error toast)
   console.log(error)
  })  
GET request using Axios:
        const axiosGetCall = async () => {
            try {
              const { data } = await axios.get('https://jsonplaceholder.typicode.com/posts')
    // enter you logic when the fetch is successful
              console.log(`data: `, data)
           
            } catch (error) {
    // enter your logic for when there is an error (ex. error toast)
              console.log(`error: `, error)
            }
          }
    
    axiosGetCall()
POST request using Axios:
const axiosPostCall = async () => {
    try {
      const { data } = await axios.post('https://jsonplaceholder.typicode.com/posts',  {
      // your expected POST request payload goes here
      title: "My post title",
      body: "My post content."
      })
   // enter you logic when the fetch is successful
      console.log(`data: `, data)
   
    } catch (error) {
  // enter your logic for when there is an error (ex. error toast)
      console.log(`error: `, error)
    }
  }
axiosPostCall()