How to get list of Scripts in Order of Dependencies

All the information you need you can get from the global variable $wp_scripts:

Code:

function wpse124227_wp_script_styles_debug_basic() {
    global $wp_scripts, $wp_styles;
    echo '<pre>';
        //Scripts
        print_r( $wp_scripts );
        //Styles
        //print_r( $wp_styles );
    echo '</pre>';
    }
add_filter( 'wp_head', 'wpse124227_wp_script_styles_debug_basic' );

To get a more specific output you have to define what you are looking for, instead of printing the whole object. Below linked information should get you started on that.

Information:

• How do I get the $handle for all enqueued scripts?
• Debug enqueued Scripts and Styles in WordPress
• Add a script as a dependency to a registered script

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Update:

I just remembered there is a add-on to the Debug Bar plugin, called
Debug Bar List Script & Style Dependencies
, which does show scipts and styles dependencies and orders them. But I don’t know how the add-on does it, never looked at the code, and if that’s exactly what you want. You’d have to inspect that yourself.