Gift
A gift or present was an object given to an individual by another. They could be packaged with wrapping paper () and a . ()

Taking back a gift you had given to another was not Vulcan custom. In 2260 of the alternate reality,  explained this to  after the latter tried to return a vokaya pendant he had gifted her with while they were still dating. ()

In 2267, feigning jealousy, James T. Kirk told Yeoman Teresa Ross he didn't want her accepting Trelane's gifts. ()

In 2365, Data explained that his valuing of a book given to him by Jean-Luc Picard was evidence that proved him to be more than just a machine. ()

Examples 
 Baby shower
In 2378, several members of 's crew presented B'Elanna Torres and Tom Paris with gifts for their upcoming baby:
Tuvok – a pleenok. 
Harry Kim – diapers with the Starfleet insignia on them. 
The Doctor – a recording of several lullabies.

Some time after the shower, Seven of Nine belatedly gave them a pair of well-insulated baby booties. ()

 Birthday
In 2285, Leonard McCoy gave James T. Kirk a bottle of Romulan ale and a pair of antique American glasses for his birthday. () Later, needing money after time travelling back to 1986 San Francisco, Kirk sold them to an antique store for $100. When Spock reminded him that they had been a birthday gift from McCoy, Kirk told him that they would be again. ()

In 2370, Worf was given an abstract representation of the Battle of HarOs by Data for his birthday. In an alternate timeline, he received an imprint of his son's cranial ridges. ()

In 2371, Elim Garak gave Julian Bashir a Cardassian holoprogram of one of Shoggoth's enigma tales for his birthday. ()

Also that year, Tom Paris gave Kes a locket for her second birthday. ()

In 2373, Miles O'Brien was making a dollhouse and miniature furniture for his daughter Molly's birthday. ()

In 2374, Kathryn Janeway retrieved a pocket watch from Chakotay's damaged quarters that he had given her five months previous as a birthday gift. ()

 Christmas 
In 2266, James T. Kirk and Helen Noel were in the quarters conversing and, before they kissed, they talked about the crew and Kirk said "You want me to manufacture a lie, wrap it up as a Christmas present for you?". ()

 Engagement
Sometime prior to 2377, Kathryn Janeway's fiancé Mark gave her a copy of Dante's Inferno as an engagement gift. ()

 Going-away
In 2372, Miles O'Brien and Julian Bashir gave Nog a copy of A Cadet's Guide to Sector 001 Earth upon his leaving for Starfleet Academy. ()

 Housewarming
In 2371, Kira Nerys gave Odo a plant which he put in his bucket, not requiring it for rest anymore. ()
In 2378, Chakotay gave Seven of Nine a dreamcatcher as a housewarming gift. ()

 Peace offering
In 2263 of the alternate reality, the Fibonan High Council gave a piece of the Abronath, via Captain , to the Teenaxi Delegation, as a peace offering. Mistrustful of the Fibonans, however, the Teenaxi were unconvinced by this gift, and therefore rejected it. Some wondered if it had been stolen. ()

 Wedding
In 2364, Deanna Troi received jewels in a Betazoid gift box for her then-pending marriage to Steven Miller. ()

In 2379, Data's gift to William T. Riker and Deanna Troi was a song he sang for them. ()

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