JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="//maxcdn.bootstrapcdn.com/font-awesome/4.3.0/css/font-awesome.min.css">
<div class="select-wrapper">    
    <select>
        <option>United Kingdom</option>
        <option>Canada</option>
        <option>United States</option>
    </select>
</div>

CSS

body {
    background-color: #f6f6f6;
    padding: 10px;
}
.select-wrapper {
    background-color: #FFF;
    display: inline-block;
    position: relative;
}
.select-wrapper:after {
    content: "\f078";
    font-family: 'FontAwesome';
    position: absolute;
    top: 13px;
    right: 10px;
    z-index: 5;
}
select {
    padding: 10px 40px 10px 10px;
    -webkit-appearance: none;
    -ms-appearance: none;
    -moz-appearance: none;
    appearance: none;
    border: 1px solid #bbb;
    background-color: transparent;
    border-radius: 0;
    position: relative;
    cursor: pointer;
    z-index: 10;
}