The ones that has been posted about on here several times, more than normal amounts of dust is getting past the filter (happens on the MS362 as well). As I understand it, they have attempted to fix it, but have not been able to - but I don't really know how serious it is.
My 362 is always perfectly clean behind the air filter.
If I only had one saw I would want dual dawgs on it. As a homeowner sometimes you have flared-out stumps and you want to cut as flush as possible to the ground. With the saw on its side with the clutch cover down, and the only dawg on the top, sometimes you're trying to pry against bark with your crank case. This just twists your bar in the cut.
Also if you don't have a hydraulic splitter and you use your saw for noodling big rounds, the stock chain catcher can become a noodle catcher forcing you to shut the saw down and clear the clutch cover with your finger frequently. The dual dogs allow you to eliminate the stock chain catcher, and they use a roller-type catcher further forward making a larger opening for large chips or noodles.
After chaps I'd say the accessory I'd want is a helmet with face shield and ears. I just got one, and the face shield is more convenient than I thought it would be. I used to come home from a 2-3 hour job looking like I was "tarred and feathered", except "bar oiled and chipped". Also with mine at least (Stihl), the ears click outward away from your ears, so if you need to hear something, you just click them away from your head, and when you want to put them back on you just click them back in, no swinging back behind your head or adjusting.
Another thing someone mentioned but I want to elaborate on is a proper bar scabbard. I find that most saws at my dealer for whatever reason are coming with a scabbard 2"-4" shorter than the bar. I put a pin-hole in a bar-oil jug one time with an uncovered chain, what a mess. Make sure your dealer gives you a full-length scabbard.