Edit in JSFiddle

p {
    font-family: sans-serif;
}

label.custom-select {
    position: relative;
    display: inline-block;
}

    .custom-select select {
        display: inline-block;
        border: 2px solid #bbb;
        padding: 4px 3px 3px 5px;
        margin: 0;
        font: inherit;
        outline:none; /* remove focus ring from Webkit */
        line-height: 1.2;
        background: #f8f8f8;
        
        -webkit-appearance:none; /* remove the strong OSX influence from Webkit */
        
        -webkit-border-radius: 6px;
        -moz-border-radius: 6px;
        border-radius: 6px;
    }

    /* for Webkit's CSS-only solution */
    @media screen and (-webkit-min-device-pixel-ratio:0) { 
        .custom-select select {
            padding-right:30px;    
        }
    }
    
    /* Since we removed the default focus styles, we have to add our own */
    .custom-select select:focus {
        -webkit-box-shadow: 0 0 3px 1px #c00;
        -moz-box-shadow: 0 0 3px 1px #c00;
        box-shadow: 0 0 3px 1px #c00;
    }
    
    /* Select arrow styling */
    .custom-select:after {
        content: "▼";
        position: absolute;
        top: 0;
        right: 0;
        bottom: 0;
        font-size: 60%;
        line-height: 30px;
        padding: 0 7px;
        background: #bbb;
        color: white;
        
        pointer-events:none;
        
        -webkit-border-radius: 0 6px 6px 0;
        -moz-border-radius: 0 6px 6px 0;
        border-radius: 0 6px 6px 0;
    }
    
    .no-pointer-events .custom-select:after {
        content: none;
    }