Again, depending on where in the world you are, you may not have the equipment nor access to ingredients necessary to make these properly. You might be able to approximate, but it won’t be as good, which is the entire point of my comment.

American pizza requires a pizza oven or regular oven with a steel/stone (or dish for Detroit-style pizza), specific types of cheese, and depending on your preference, specific toppings; these may not be available abroad. In some countries, ovens are not considered standard kitchen equipment; good luck making decent pizza on the stovetop.

Similarly, really good BBQ requires special equipment that even most American homes don’t have, and requires a good deal of outdoor space (otherwise you risk smoking out yourself/your neighbors).

Mexican food is more flexible in terms of equipment, but ingredients may be hard to source (especially spices).

For ice cream you might struggle to find the right add-in ingredients depending on what flavor you’re trying to make, but again, the biggest issue is equipment. You can make ice cream at home without an ice cream maker, but it seems like more hassle than it’s worth and still requires some equipment and decent freezer space (fwiw I’ve never done it before; maybe it’s easier than it sounds).