JSFiddle - React, Tailwind, and code Playground

HTML

<div class="c-select">
  <select name="c">
{PHP.c|catselector_selectbox('projects', $this, 'c')}
</select>
</div>
<br><br>
<div>
  <select name="c">
    <option>Опция 1</option>
    <option>Опция 2</option>
    <option>Опция 3</option>
    <option>Опция 4</option>
    <option>Опция 5</option>
  </select>
</div>

CSS

.c-select select[name=c] {
  display: inline-block;
  max-width: 100%;
  -webkit-appearance: none;
  padding: .375rem 1.75rem .375rem .75rem;
  padding-right: .75rem \9;
  color: #55595c;
  vertical-align: middle;
  background: #fff url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAUCAMAAACzvE1FAAAADFBMVEUzMzMzMzMzMzMzMzMKAG/3AAAAA3RSTlMAf4C/aSLHAAAAPElEQVR42q3NMQ4AIAgEQTn//2cLdRKppSGzBYwzVXvznNWs8C58CiussPJj8h6NwgorrKRdTvuV9v16Afn0AYFOB7aYAAAAAElFTkSuQmCC) no-repeat right .75rem center;
  background-image: none \9;
  -webkit-background-size: 8px 10px;
          background-size: 8px 10px;
  border: 1px solid #ccc;
  
     -moz-appearance: none;
}
  
.c-select select[name=c]:focus {
  border-color: #51a7e8;
  outline: none;
}
  
.c-select select[name=c]::-ms-expand {
  opacity: 0;
}