DataTables

HTML

<link rel="stylesheet" href="https://cdn.datatables.net/1.10.7/css/jquery.dataTables.css">
<script src="https://cdn.datatables.net/1.10.7/js/jquery.dataTables.min.js"></script>
<link rel="stylesheet" href="//cdn.datatables.net/responsive/1.0.6/css/dataTables.responsive.css">
<script src="//cdn.datatables.net/responsive/1.0.6/js/dataTables.responsive.js"></script>
Responsive:<br>
<select id="ctrl-select">
    <option value="1" selected>Yes</option>
    <option value="0">No</option>
</select>
<hr>
    
<table id="example" class="display" cellspacing="0" width="100%">
    <thead>
        <tr>
            <th>Name</th>
            <th>Position</th>
            <th>Office</th>
            <th>Age</th>
            <th>Start date</th>
            <th>Salary</th>
        </tr>
    </thead>
    <tfoot>
        <tr>
            <th>Name</th>
            <th>Position</th>
            <th>Office</th>
            <th>Age</th>
            <th>Start date</th>
            <th>Salary</th>
        </tr>
    </tfoot>
    <tbody>
        <tr>
            <td>Tiger Nixon</td>
            <td>System Architect</td>
            <td>Edinburgh</td>
            <td>61</td>
            <td>2011/04/25</td>
            <td>$320,800</td>
        </tr>
        <tr>
            <td>Garrett Winters</td>
            <td>Accountant</td>
            <td>Tokyo</td>
            <td>63</td>
            <td>2011/07/25</td>
            <td>$170,750</td>
        </tr>
        <tr>
            <td>Ashton Cox</td>
            <td>Junior Technical Author</td>
            <td>San Francisco</td>
            <td>66</td>
            <td>2009/01/12</td>
            <td>$86,000</td>
        </tr>
        <tr>
            <td>Bradley Greer</td>
            <td>Software Engineer</td>
            <td>London</td>
            <td>41</td>
            <td>2012/10/13</td>
            <td>$132,000</td>
        </tr>
        <tr>
            <td>Dai Rios</td>
            <td>Personnel Lead</td>
           ...

JavaScript

$(document).ready(function (){
    var dtOptions = {
        responsive: true           
    };
    
    var table = $('#example').DataTable(dtOptions);
    
    $('#ctrl-select').on('change', function(){
        dtOptions.responsive = ($(this).val() === "1") ? true : false;
        
        $('#example').DataTable().destroy();
        $('#example').removeClass('dtr-inline collapsed');
        
        table = $('#example').DataTable(dtOptions);
    });
});