It would be so nice to see what we sent, instead of having the recipient say, "Thanks for the (insert item here)", and us having to say, "You're welcome. Which ones were they?"

There is a page for that: Gifts Given It's the second to last link on the tree page.
No, I mean when we go to the wrapping place, where we put in an amount and it sends something to that person, but we have no idea what we sent.

When you go to the gift center in Artic Frost it doesn’t tell you what you sent if you pick the
Presents! Don't know what to get for a friend? Tell us how much to send and we'll pick something out and even deliver it for you!
That’s messed up!! Yeah, even Melody keeps track of gifts sent…