You can make almost any kind of cookies. They all have the same basic ingredients, just variations on additives (chocolate chips, nuts, or whatever) and sweeteners (brown sugar, white sugar, molasses) and maybe flavorings (vanilla, cinnamon).
Same with cakes, cupcakes, and quick breads (like banana bread). Heck, you can make your own ice cream with just milk, cream, and vanilla.
Whenever I want to bake something, I go to AllRecipes and browse through recipes. I do a search for cookies, click on the ones that sound good, and choose one that calls for ingredients I have on hand.
Our current favorite homemade cookie is the “No Chip Chocolate Chip Cookie.” Look up the original recipe for Nestle Tollhouse Chocolate Chip cookies. Add an extra ¼ cup of flour, and use ½ cup butter and ½ cup Crisco in place of the full cup of butter. Leave out the chocolate chips, but otherwise prepare as the recipe says. Best. Cookies. Ever. People always think they have some kind of secret ingredient or something, but the ingredients are very basic. Just don’t over bake them!