Wol_fi

$(window).on('hashchange', function() {
  var hash = window.location.hash;
  //тут уже обрабатывайте
});

var elementClick = $(caller).attr("href");
    var destination = $(elementClick).offset().top -60;

jQuery('http://localhost/aestetic#company');
Uncaught Error: Syntax error, unrecognized expression: http://localhost/aestetic#company(…)

но она не срабатывает при изменении размера окна браузера. Как поправить?

var resizeTimeout;
$(window).resize(function(){
    if (resizeTimeout) {
        clearTimeout(resizeTimeout);
    }
    resizeTimeout = setTimeout(function(){
         equalHeight($(".thumbnail")); 
    }, 1000);
});

document.getElementById('#selectId').change = function(){
    var elem = (typeof this.selectedIndex === "undefined" ? window.event.srcElement : this);
    var value = elem.value || elem.options[elem.selectedIndex].value;
    var request;
    if (window.XMLHttpRequest) {
        request = new window.XMLHttpRequest();
    } else {
        request = new ActiveXObject("MSXML2.XMLHTTP");
    }
    request.open('GET', '/path/to/backend', true);
    request.onreadystatechange = function() {
        if (this.readyState === 4 && this.status === 200) {
            var jsonString = this.responseText; //{"value":"title", "value2":"title2"}
            var data = JSON.parse(jsonString);
            var optionsString = '';
            for (var key in data) {
                optionsString+= '<option value="' + key + '">' + data[key] + '</option>';
            }
            document.getElementById('#targetSelectId').innerHTML = optionsString;
        }
    }
    request.send('selectValue=' + value);
}

<h2>Галерея 1</h2>
<a href="big_image_url" class="gallery" rel="group1"><img src="small_image_url"></a>
<a href="big_image_url" class="gallery" rel="group1"><img src="small_image_url"></a>
<h2>Галерея 2</h2>
<a href="big_image_url" class="gallery" rel="group2"><img src="small_image_url"></a>
<a href="big_image_url" class="gallery" rel="group2"><img src="small_image_url"></a>
<script>
jQuery(document).ready(function($){
   $('.gallery').fancybox();
});
</script>