There's a sizable community of Muslim people in Chiang Mai mostly around the Chang Klan area. Also many small Muslim eateries in that area, which are a nice change from regular Thai lunch fare. None of these restaurants are particulary fancy. This one I review today stands out because it combines so many different types of food in one place. They do khao soi (noodles in curry soup), chicken and mutton(!) biryani, 'honey grilled duck' dishes, some curries over rice, and chicken and beef sateh skewers to name a few. Also on the off-chance that you ever went looking for goat-milk in Chiang Mai: they have that too. :) Most dishes go for 20-25-30 baht, with the mutton biryani (khao mok phae, see picture) going for 50 baht. The restaurant is called Suthasinee; it's a nice friendly place, on Chang Klan road (Night Bazar road), but well South of the Night bazar on the left side before you get to Chiang Mai Land.