Love these threads - if it was my field of research, I would have a great time in putting this type of thing into a research project to see exactly how families approach it, and how it leads to different outcomes, (appreciation, thankfulness, knowledge of disparities, age of disbelieving, generosity etc.)
As far as I can see from the threads like this, the most popular general options are:
1, Santa = absolutely everything
2, Santa = all parents presents / Family separate
3, Santa = some family presents (most or half) / Family separate
4, Santa = small stocking / Parents separate / Family separate
5, No Santa
And then within these, the sub-groups of how Santa relates to parents
A, Santa makes/pays for everything
B, Parents pay Santa
C, Parent's buy presents, Santa is delivery man
And further subgroups of how the presents are delivered:
1, Stockings
2, Sacks
3, Pillow cases,
4, On sofa
5, Under tree,
And finally, the obvious separation of whether the "santa" Stuff is:
A, Wrapped
B, Unwrapped
For me, my family would be 3,A,1,A. I'm sure I've missed some more unusual methods, but I think you could categorize most families like this, which would then be an interesting foundation for some comparative research.