Here in the US, many of those types of meals are called "pot pies".
Can be chicken, turkey or beef as the main protein.
If you Google "pot pie" you will get various dough recipes and if you add the word "recipes" to the search, you'll get an assortment of chicken pot pie recipes. Here's an example.
Cooks.com - Recipes - Pot Pie Dough
In looking up Shepherd's pie, many came up, but most used mashed potatos as the topping.
Here's one for a steak and kidney pie...
Steak and Kidney Pie Recipe
Hope this helps your search...