Our menu changes a bit year to year, but this is what we had last year (all at my house)
Christmas Eve: chips & dip, cheese and crackers, shrimp ****tail, salad, lasagna, veal parm, caramel cheesecake and tons of Christmas cookies. (my brother & his wife made the lasagna, mom did the veal)
Christmas morning - French toast casserole, sausage fritatta, bagels and fruit. (casserole & fritatta prepared the night before and put in oven while we open gifts)
Christmas dinner - DH likes his beef, so he grills and I make the salad and sides. Dessert was molten chocolate cakes with vanilla ice cream, pumpkin & apple pie and cookies.
New Years Eve - depends upon who is here...if we have guests, we do a Buffett of heavy appetizers, sandwiches and pizza, if it's just us, we usually get take out Chinese.
What helps for me is working out what dishes I will use for each item ahead of time. I keep detailed lists for prep, etc and I DELEGATE! if you don't help cook, then you do the dishes! No excuses! It works pretty well for us.