Hi MKM, OK not apple pie.... although "pie" is not widely familiar to most of Europe. It likely originated somewhere in the UK!
But for something typically American and Southern, how about Pecan Pie? All the ingredients should be readily available most everywhere (with the possible exception of the Pecans) and Walnuts could be a suitable substitute for the Pecans in regions where the former are not available or economical, Almonds would do nicely as well.
The recipe I use is as follows:
1 9" uncooked pie crust (your favorite recipe or pre-made)
preheat oven to 350 F
1 Cup dark Corn Syrup, or 1cup light with 1 Tbsp of Molasses added.
3 eggs
1 Cup Sugar
2 Tbsp melted butter
1 Tsp Vanilla
1 1/2 Cups Nut meats halved or chopped (your preference)
Mix first 5 ingredients well in a bowl of sufficient capacity, add nuts and mix well. Empty contents into the shell and bake 60-70 minutes until cooked through. Interior temp should be 200F. Basically this is a custard so judge your cooking time accordingly. I usually start with the oven at 400 and turn down to 325 upon putting the pie(s) inside. The higher initial temperature helps prevent the crust from getting soggy on the bottom.
Caution! This is a diet buster for sure... but you should make two, because one is never enough!
Enjoy & Take Care;
Doug