The most famous local foods specific to Mashhad are:

Sholeh, which is a heavy porridge of several beans, grains, lamb pieces and its fat, plus special spices. It's usually served in cold weather and during morning ceremonies like Muharram and Arba'een.

Shishlick, which is marinated, barbequed tender lamb chops.

Tahchin is a saffron-flavored chicken and rice dish although lamb is also servedinstead of chicken. What makes it special is that it's oven baked with a crusted yogurt chicken filling.
Tolab ice cream is a three-layered handmade ice cream with chocolate, cardamom and rosewater, and saffron flavoring. It is full of bits of frozen cream and you can try it with or without mixed nuts. Originally, it's served between a thin wafer like a sandwich.
Mahicheh is fresh lamp shank that is marinated and roasted and served with hot saffron toped rice.