The thermophilic kind that you seed with plain yogurt from the store. I use Fage usually as a seed. I usually make it the "warm oven" method, where I get the oven to 150 or so, turn it off, and let it sit overnight. Makes a nice thick yogurt, and after 8 hours it's still a little warm, but it's pretty close to room temp.
Note that store-bought items may or may not contain live and active bacterial cultures, or have flavorings, or other various adulterations that affect shelf life. Thus, various sources suggest extremely short times that yogurt is viable when left out. This article, for example, suggests that yogurt left at 90° for over an hour should be tossed out. Clearly, however, this advice cannot be relevant to freshly-cultured yogurt, because leaving it at more than 90° for several hours is essential to the culturing process! Indeed, souring is a traditional method of preserving milk.
How effective is thermophilic bacteria at preserving milk at room temperature? I.e. How much longer might I expect my yogurt to resist growing potentially dangerous bacteria than the pasteurized milk I made it from? Does straining it affect the room-temp lifespan?