HTOTM: FUSION
Lucky Dips, from what I remember, were not items. A "lucky dip" was actually an "item vender" where you send in one dollar to get a random item. I'm not sure if they still have this somewhere in the shop or not. I think it was removed.

There might be a collectors item called "Lucky Dip" too. If there is, and I have no idea if there is or not, you will just have to purchase it from the owner. Just like any other rare item.