<script src="https://code.jquery.com/jquery-3.3.1.min.js"></script>
<form class="filter">
<div class="filter-group">
<select name="filter">
<option value=".services-slide_one">Все</option>
<option value=".evac">Эвакуатор</option>
<option value=".gruz">Грузоперевозки</option>
</select>
</div>
</form>
<script>
$('select').on('change', function () {
document.body.className = this.value.slice('1');
});
</script>