German traditions here, so much different! Altogether fewer presents, even when I was a child.
St Nicholas Day (6th December), St Nicholas comes overnight to leave chocolate and a small present or two in your shoe/boot, which you leave out for the occasion.
Christmas Eve, after the late-afternoon church service (a modified Vespers), either the Christmas Man (pretty much the same as Father Christmas) or the Christ Child comes to leave the presents under the tree, and he/she rings the best-sounding bell on the tree to summon the children (and magically disappears before they arrive). All these presents are opened Xmas Eve.
The Christ Child is rather peculiar: it's, I gather, a post-Reformation thing, meant to replace the Catholic St Nicholas, and it's somehow simultaneously both the baby Jesus, i.e. a male baby, and a young girl with long curly blonde hair and a gold dress. For some reason, this made perfect sense when I was little. I guess I figured Jesus can appear however he wants!
The presents were never "from" the Christmas Man or the Christ Child, though (my parents sort of mixed them up all the time, and I think we figured the job of getting all the presents out into the world was big enough that there could be a job-share). They just distributed all the gathered-up presents from the parents and extended family!
We started trying to make/buy presents for our parents and each other from quite a young age. I remember taking the bus into town when I was 9 to spend my collected pocket money. My mom got 3 wooden cooking spoons that year, I think. She hates cooking, but I think at least one of those spoons has still survived.