Basically the title, I read a little on this and I think http://jd.bukkit.org/rb/apidocs/org/bukkit/event/inventory/InventoryMoveItemEvent.html might work for this.

I can look into adding this feature.

Not sure it is a feature request as much as an omission from the No Interact code when the new containers were created. When a user has the No Interact flag set they are still able to use the containers listed above.

Players can interact with Horses as well with no interact set.

@mbax Any news on this?

News: I won't be able to add new features or fix any bugs that aren't cripplingly dangerous until after 1.7's out

I've done some testing, if the player interacting with a block has the permission "vanish.silentchests" it allows the interact for all blocks except 2 (that i've tested, dropper and beacon). It doesn't block any InventoryMoveEvents, only when the player is in a chest.

If the player doesn't have "vanish.silentchests" all block interaction events are cancelled regardless.