Estonians have some pretty interesting culinary treats, including herring cooked every which way, sült (meat jelly), kartulisalat (always with diced ham), and tatrahelbed - a salted porridge.
But it is during Christmas time, or jõuleaeg, that they break out the really "good shit," starting with the ubiquitous blood sausage or verivorst. I have tasted this Estonian Christmas treat with mixed results. Sometimes it tastes so foul, I feel like I might as well just go to a field of cows, pick one, and stick a straw in its jugular. Other times it is loaded with barley, and when salted and covered in sour cream, it is palatable.
That's why when it comes to Estonian Christmas food, I'll be the one at the table loading up on pork, sauerkraut, and potatoes with plenty of kangesinep (strong mustard). The added benefit of the mustard is that it makes you thirsty, which means you have to drink more really alcoholic beer, which means you have a better time.
Estonians typically celebrate Christmas on Christmas eve. "Like in other Nordic states," writes Estonia's foreign ministry, "Estonia's celebration of Christmas mostly falls on Christmas Eve, however, Christmas season starts from Advent with people buying Advent calendars or lighting Advent candles. Each year on December 24, the President of Estonia declares Christmas Peace, which is a 350-year-old tradition in Estonia."
There is also the tradition of putting out candles for departed love ones, especially by visiting their graves and placing candles there. At Christmas, whole cemeteries are illuminated. It's actually quite beautiful.
It's hard to tell what is ancient custom in Estonia and what is borrowed from neighboring countries. According to the Estonian foreign ministry, an old custom was to bring Christmas straw into the house and to make Christmas crowns resembling church chandeliers, particularly in northern and western Estonia. More recently, you can see some incarnation of this tradition in St. Lucia processions.
Anyway, since Estonians don't seem to mind borrowing traditions from their neighbors, one thing they should do is steal the tradition of Christmas beers from the Danes. Every year, Tuborg releases its special Julebryg Christmas beer, wishing you a "glaedelig jul" and plenty of drunken merriment. I don't know how many of those I could drink. They are really good.