I started a couple of herb plants in my kitchen window a while back and so far so good. I just have Rosemary and Parsley now but will add a couple more soon.
Oh, you must add basil. It is so easy to grow and a pot of basil on the window sill is just incredibly romantic. Basil is my favorite herb to add to tomatoes and pasta dishes.
I haven't started with my window herbs yet, but I will very soon. I usually grow basil, parsley, and oregano. I use these herbs a lot in my recipes, that's why.