Fill a list
HTML
<ul id="list"></ul>
JS
var fillList = function(array_of_options) {
    $("#list").empty();
    $.each(array_of_options, function(index, value) {
      newli = $( "<li>" + value['some_field'] + "</li>" );
      $("#list").append(newli);
    });
}
Fill a dropdown list
HTML
<select id="options">
JS
  var fillDropdown = function(array_of_options) {
      $("#options").empty();
      $.each(array_of_options, function(index, value) {
        $("#options").append('<option value="' + value['some_field'] + '">' + value['another_field'] + '</option>');
      });
  }