For letting people edit your Wish List, you need to select the option 'View and Edit'.
This button looks like a small envelope icon in the upper-right corner of your wish list.
Or View and Edit if you want to give people permission to add and remove things from the list.
These sites have an option called the 'Wish List' where consumers can save items that they might want to buy later.
Choose the wish list for your new item or create a new one.
All lists are private when first created, and you can make changes to them as you go.