http://jsfiddle.net/u3cybk2q/2/ check on windows, iOS and Android (iexplorer patch)
.styled-select select {_x000D_
background: transparent;_x000D_
width: 240px;_x000D_
padding: 5px;_x000D_
font-size: 16px;_x000D_
line-height: 1;_x000D_
border: 0;_x000D_
border-radius: 0;_x000D_
height: 34px;_x000D_
-webkit-appearance: none;_x000D_
}_x000D_
.styled-select {_x000D_
width: 240px;_x000D_
height: 34px;_x000D_
overflow: visible;_x000D_
background: url(http://nightly.enyojs.com/latest/lib/moonstone/dist/moonstone/images/caret-black-small-down-icon.png) no-repeat right #FFF;_x000D_
border: 1px solid #ccc;_x000D_
}_x000D_
.styled-select select::-ms-expand {_x000D_
display: none;_x000D_
}
_x000D_
<div class="styled-select">_x000D_
<select>_x000D_
<option>Here is the first option</option>_x000D_
<option>The second option</option>_x000D_
</select>_x000D_
</div>
_x000D_