loop_object.html

<ul v-for="(item,key,index) in relatedProducts">
  <h2>{{ key }}</h2>
  <li v-for="(p,p_index) in item">
    {{ p.name }}
  </li>
</ul>

//

relatedProducts = {
'menu1':[{},...
],
'menu2':[{},...
],
...
}