Hello

Video Module -> Favorite List

Now go to video module and select a video, favorite. Press the folder icon. Add a folder "For my friends", set privacy to Friends Only

Video is added as a favorite.

Goto profile. No block shows.

Go back to same video, click unfavorite, unchecked your Friends only folder and check default. Save.

Go back to profile. Favorite block populates with "default".

By default "Favorite List" block shows favorites from 'Default' list. If you want to show some other list you need to path 'list_id' in block service call params. Something like this

array (
 'module' => 'bx_forum',
 'method' => 'browse_favorite',
 'params' => 
 array (
  'profile_id' => '{profile_id}',
  'params' => 
  array (
   'list_id' => 1,
   'unit_view' => 'gallery',
   'empty_message' => false,
   'ajax_paginate' => false,
  ),
 ),
)

You'll have: