Media embeds not working

Media embeds, for some reason don’t seem to be working properly…

The embeds I’m talking about are:
– Insert YouTube URL (unlinked) and it will automatically embed the video
– Insert Vimeo URL (unlinked) and it will automatically embed the video
– Insert SoundCloud URL (unlinked) and it will automatically embed the track

They work fine in POSTS and PAGES, but in Custom Post Types they just show as plain text.

In the Custom Post Template, I could use the following to output the content:
<?php meta('my-custom-field'); ?>

However I’m using this instead (so that my custom shortcodes all work):
<?php echo apply_filters('the_content', get_post_meta($post->ID, 'my-custom-field', true)); ?>

Using that code allows MY custom shortcodes to work fine, it’s just the default WordPress’ media embedding that doesn’t work.

Does anyone know why/ how to fix it?

Thanks