I thought everyone did this!
My Mum and Dad always put pressies (not ours though, cuz we would snoop!!) under the tree.
I was brought up with this, so just assumed everyone did that with their pressies.
I can't do it this year though (am gutted) as our little bunny pretty much lives in the house now and he would start munching through the wrapping paper!!
Our tree also has to sit on our little coffee table too cuz naughty bunny also like chewing through cables!!