I'm only doing the three gift recipients right now because my brain is tired, but I'll probably edit this later and add others <3

Billie Farrow:

1.  Billie's favorite gift isn't a tangible thing.  Her favorite gift is being able to spend Christmas with Gideon, especially that first Christmas.
2.  For Gideon: She tried very hard to make him a wand holster with his name on, but she failed miserably. Instead, she made a sign that says "Gideon's Wands - The Best Ollivanders" to put in his shop window so people know they should go to his shop and not his brother's. She also got him some of his favorite candy. |  For Quin:  She installed burglar bells on all of his windows, convinced that he might have another dungbomb break-in. She also let a street cat loose in his basement, since she can't catch rodents for him while at school. | For Gus:  She probably consulted with Hermia about what quidditch players would really want for Christmas, couldn't decide, and instead made her a terrible looking card and packed candy that supposedly would make her "faster." | For Jimmy: A Christmas card with trick candy inside that will make him temporarily go bald.

Edison Moony:

1. I don't think Ned plays favorites with anything, but his broom is one of his most cherished since, even as a hand-me-down, it was an expensive gift.
2.  For Anne: A book of useful spells for defense and an outing that's just the two of them (Anne's choice) | Alice: A (somewhat battered) book about healing injuries from spell damage. | For Sisse: A book about dueling written by a woman to prove women can be duelers, too.

Zachariah Binns:

1. His flippity, floppity, ugly-as-sin traveling hat, probably.
2. For Jo: The world. A chair of her own for his study for when she visits, so she's comfortable (though that likely showed up without comment). Wandless magic books. He probably stole her away for an evening walk. | For Emma: Adventure books. |  For Jules: Research supplies and a few papers he dug up about werewolves from his connections. The latter is given to her in private, of course.

Archer Belby:

1. Honestly, socks.
2.  Annie:  Some candy from Honeydukes  |  Flora: A book about toads.  |  His Mother & Sister: He wasn't sure what to get them, so, in true panicked fashion, he picked out pretty diaries.  Probably not the best gift, but it's something.

Eli Fox:

1. Drawing Paper
2.  For Hestia:  A drawing of her.  |  For Jay: A drawing of him working in the shop.  |  For Simeon: A curious, stolen, magical trinket.