Check out these 5 Unicef Market coupons including promo codes and free shipping deals for June 2017. The best offer today is a 5% Off coupon code. You can use your coupon code to save on gifts that give back at Unicef Market. When you purchase from Unicef, you're not only getting unique, handmade products but you're helping children in need. From jewelry to home decor and accessories, there's lots of good stuff here.