JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.5/css/bootstrap.min.css">
<select>
  <option>Default</option>
  <option>Default</option>
  <option>Default</option>
</select>

<select class="form-control">
  <option>Bootstrap</option>
  <option>Bootstrap</option>
  <option>Bootstrap</option>
</select>

<select class="form-control custom">
  <option>Custom</option>
  <option>Custom</option>
  <option>Custom</option>
</select>

<br>
taken from <a target="_blank" href="http://r4fx.github.io/mate/doc/www/forms.html#nav-basic">http://r4fx.github.io/mate/doc/www/forms.html#nav-basic</a>

CSS

select {
  margin: 5px;
  width: 200px !important;
}

select.custom {
  background-image: url("data:image/svg+xml;charset=utf-8,%3Csvg%20version%3D%221.1%22%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Axlink%3D%22http%3A%2F%2Fwww.w3.org%2F1999%2Fxlink%22%20x%3D%220px%22%20y%3D%220px%22%20fill%3D%22%23555555%22%20%0A%09%20width%3D%2224px%22%20height%3D%2224px%22%20viewBox%3D%22-261%20145.2%2024%2024%22%20style%3D%22enable-background%3Anew%20-261%20145.2%2024%2024%3B%22%20xml%3Aspace%3D%22preserve%22%3E%0A%3Cpath%20d%3D%22M-245.3%2C156.1l-3.6-6.5l-3.7%2C6.5%20M-252.7%2C159l3.7%2C6.5l3.6-6.5%22%2F%3E%0A%3C%2Fsvg%3E");
  padding-right: 25px;
  background-repeat: no-repeat;
  background-position: right center;
  -webkit-appearance: none;
  -moz-appearance: none;
  appearance: none;
}

select.custom::-ms-expand {
  display: none;
}