Update October 2019
The following should work "stand-alone" on all modern browsers without any dependencies or transpilation.
<!-- display a pop-up with the selected values from the <select> element -->
<script>
const showSelectedOptions = options => alert(
[...options].filter(o => o.selected).map(o => o.value)
)
</script>
<select multiple onchange="showSelectedOptions(this.options)">
<option value='1'>one</option>
<option value='2'>two</option>
<option value='3'>three</option>
<option value='4'>four</option>
</select>