Sesame Oil vs Toasted Sesame Oil I normally purchase sesame oil from an Asian market, but this time I bought it from the grocery store. I primarily use sesame oil for making stir-fried cashew chicken in a wok on the stovetop. 

Kadoya Brand
100% Pure Sesame Oil
Ingredients: Sesame Seed Oil  

La Tourangelle Toasted Sesame Oil
Ingredients: 100% Pure Sesame Oil

The new bottle (toasted sesame oil) says on the back that it is best for low to medium heat, including stir-frying, baking, dipping, dressings, or drizzled on finished dishes.

So, what is the difference between sesame oil and toasted sesame oil? I do not taste a difference.
I think the Kadoya brand you bought was toasted as well, it just didn't bother to mention it. Everything I've bought from Kadoya has been toasted. They are easy to tell apart. Non-toasted is about the same color as say safflower oil, toasted is rather dark brown. Toasted is used primarily for finishing dishes, as a final flavor. A little goes a long way. Non-toasted is a pretty marginalized product; you see it at health food stores some times. I can't think of any culinary reason to prefer it over the many other choices and it is quite expensive. Maybe some folks have particular health reasons for choosing it.