React + datalist-polyfill

HTML

<script src="https://cdn.jsdelivr.net/npm/[email protected]/datalist-polyfill.js"></script>
<div id="app"></div>

CSS

body {
  background: #20262E;
  padding: 20px;
  font-family: Helvetica;
}

#app {
  background: #fff;
  border-radius: 4px;
  padding: 20px;
  transition: all 0.2s;
}

React

class DatalistApp extends React.Component {
  constructor(props) {
    super(props)
    this.state = {
    	items: [
      	{ suggestion: "Learn JavaScript" },
        { suggestion: "Learn React" },
        { suggestion: "Play around in JSFiddle" },
        { suggestion: "Build something awesome" }
      ]
    }
  }
  
  render() {
    return (
    	<fieldset>
        <input type="text" list="datalist" />
        <datalist id="datalist">
        {this.state.items.map(item => (
          <option key={item.id}>{item.suggestion}</option>
        ))}
        </datalist>
      </fieldset>
    )
  }
}

ReactDOM.render(<DatalistApp />, document.querySelector("#app"))