Freeze shoulder 1 hr to firm up. Remove from freezer, discard skin, slice into 1/2“ thick pieces cutting across the grain.
In large bowl whisk lemon juice, 1/4 cup olive oil, and garlic. Use box grater to add tomato and 1 onion. Add 1 Tbsp paprika, salt, pepper, and oregano leaves. Whisk together, add meat to bowl, toss to combine, cover, refrigerate 1 hr to overnight.
Heat oven to 450 deg, use 1 Tbsp olive oil to grease large rimmed baking pan. Quarter remaining onion and add to pork.
Roast until browned and crisp at edges and cooked through, 30-40 min. Check at 20 min. and drain excessive liquid.
When finished cooking allow to rest 2 min., chop into bits, sprinkle remaining paprika over meat.
Serve with warm pita, sliced cucumber, diced onions, chopped tomato, and tzalziki sauce.
Serves: 8 Total cook time: 40 min. + 1hr-overnight marinade
Source: NYT cooking app