Sections and tabs DRY – WordPress settings API

Well you could do something like this:
Create an associative array for settings, then loop through them to create settings and sections for each field.

$settings = array(
    'setting_1_id' => array(
        'title'=>'First Box Settings',
        'page'=>'first_box_option',
        'fields'=> array(
            array(
                'id'=> 'box_first_title',
                'title'=>'Title',
                'callback'=> 'text_callback'
                ),
            array(
                'id'=> 'box_first_desc',
                'title'=>'Description',
                'callback'=> 'textarea_callback'
                ),
            array(
                'id'=> 'box_first_link',
                'title'=>'Link',
                'callback'=> 'text_callback'
                ),

            )
        ),
    'setting_2_id' => array(
        'title'=>'Second Box Settings',
        'page'=>'second_box_option',
        'fields'=> array(
            array(
                'id'=> 'box_second_title',
                'title'=>'Title',
                'callback'=> 'text_callback'
                ),
            array(
                'id'=> 'box_second_desc',
                'title'=>'Description',
                'callback'=> 'textarea_callback'
                ),
            array(
                'id'=> 'box_second_link',
                'title'=>'Link',
                'callback'=> 'text_callback'
                ),

            )
        ),
    'setting_3_id' => array(
        'title'=>'Third Box Settings',
        'page'=>'third_box_option',
        'fields'=> array(
            array(
                'id'=> 'box_third_title',
                'title'=>'Title',
                'callback'=> 'text_callback'
                ),
            array(
                'id'=> 'box_third_desc',
                'title'=>'Description',
                'callback'=> 'textarea_callback'
                ),
            array(
                'id'=> 'box_third_link',
                'title'=>'Link',
                'callback'=> 'text_callback'
                ),

            )
        ),

);

Then you can use the foreach to loop through each settings.

foreach( $settings as $id => $values){
    add_settings_section( 
        $id, // ID used to identify this section and with which to register options
        $values['title'],
        'boxes_front_page_callback', // Callback used to render the description of the section
        $values['page'] // Page on which to add this section of options
    );

    // Loop through the fields to add different fields
    foreach ($values['fields'] as $field) {
        add_settings_field(  
            $field['id'],         // ID used to identify the field throughout the theme             
            $field['title'],                    // The label to the left of the option interface element
            $field['callback'],   
            $values['page'],         // The page on which this option will be added            
            $id,          // ID of the section
            array(
                $values['page'],        //option name
                $field['title']     //id 
            ) 
        );
    }

    register_setting($values['page'], $values['page']);

}

And finally you only need three callbacks, for text, textarea, and frontpage

/* 
 Call Backs
 */
function boxes_front_page_callback() { 
    echo '<p>Lorem ipsum</p>'; 
}

function text_callback($args) { 

    $options = get_option($args[0]); 

    echo '<input type="text" class="regular-text" id="'  . $args[1] . '" name="'. $args[0] .'['  . $args[1] . ']" value="' . $options[''  . $args[1] . ''] . '"></input>';

}


function textarea_callback($args) { 

    $options = get_option($args[0]); 

    echo '<textarea rows="8" cols="50" class="large-text" id="'  . $args[1] . '" name="'. $args[0] .'['  . $args[1] . ']">' . $options[''  . $args[1] . ''] . '</textarea>';

}

I have already tested this, works as intended.
Click here to look at the gist of the full code