In a food processor, pulse onion, garlic, parsley, and oil until finely chopped.
Add beef, breadcrumbs, salt, pepper, allspice, cayenne, cardamom, sumac, nutmeg, and paprika to the food processor. Continue to pulse until consistent paste is achieved.
Transfer to large bowl. Shape handfuls of meat into one-inch diameter cylinders. Repeat for all of the meat and set aside.
Brush grill with oil, cook kebabs for four minutes on each side.
Place kebabs on baking sheet with parchment and put in oven for six to eight minutes or until firm.
To serve:
Serve kebabs with tomatoes, onions, parsley, pita bread, Cold Pickled Radishes, and Garlic Mayo.