Did you get a black pudding? 
I <3'd black puddings when I was in the mid-60s. Grrreat mage food.  Just hafta becareful because its an AoE food effect. 
Anyway, according to the event guide on FFXIclopedia possible rewards include:
Candy Cane -(Any city; after placing the Dream Stocking in Mog House Layout; wait until next Earth day after placing the Dream Stocking in your Mog House Layout; may be a reward related to giving presents to the children) 
Candy Ring -(after placing Dream Coffer in Mog House Layout) 
Buche au Chocolat -(Any city; after placing the Dream Platter in your Mog House Layout and waiting one Earth day) 
Roast Turkey-(Any city; after placing the San d'Orian Tree (any tree may work) and Dream Platter in Mog House Layout; wait until next Earth day; multiple turkeys can be obtained in successive days) 
Gateau aux Fraises -(Any city; after placing the Dream Coffer in your Mog House Layout; wait until next earth day) 
Serving of Black Pudding - (Any city; after placing the Dream Stocking in your Mog House Layout; wait until next Earth day) 
(Retrieved from "
http://wiki.ffxiclopedia.org/The_Starli ... 2006/Guide")
Roast Turkey
This fattened fowl roasted with ancient magic is a popular dish during the Starlight Celebration. 
Stackable: No 
Food Effects: (Duration: 3 Hours, All Races) 
STR +4 
VIT +4 
Buche au Chocolat 
A San d'Orian cake made for the Starlight Celebration. Symbolizes thankfulness to the forest for firewood to keep homes warm. 
Stackable: Not Stackable 
Food Effects: (3 hours, All Races) 
Group Food Effects 
HP +8 
MP +3% (Cap: 13@433 Base MP) 
Intelligence +2 
MP Regeneration While Healing +4 
Candy Cane 
This sweet candy, shaped into a cane with ancient magic,
it popular among children during the Starlight Celebration. 
Stackable: Not Stackable 
Food Effects:(3 Hours, All Races) 
Intelligence +4 
Mind +4 
Other effects unknown 
A serving of Black Pudding
Description: A Windurstian dessert made for the Starlight Celebration. Symbolizes a legendary monster feared by the Mithra. 
Stack: Not Stackable 
Food Effects: (3 hours, All Races) 
Group Food Effects 
HP +8 
MP +4% (Cap: 25@625 Base MP) 
Intelligence +4 
MP Recovered While Healing +1 
Candy Ring 
This sweet candy, shaped into a ring with ancient magic,
it popular among children during the Starlight Celebration. 
Stackable: Not Stackable 
Food Effects:(Unknown, All Races) 
Dexterity +4 
Agility +4 
Charisma +4 
Intelligence +4 
Gateau aux Fraises
Description: A Bastokan cake made for the Starlight Celebration. Symbolizes the fire of civilization, come to melt away the snow. 
Stackable: Not Stackable 
Food Effects: (3 hours, All Races) 
Group Food Effects 
HP +8 
MP +8% (Cap: 50@625 Base MP) 
Intelligence +1 
MP Recovered While Healing +1
So far, I've gotten a Candy Cane and two buches aux chocolats since I did the event on Christmas Eve 
