The main difference would be the masala spices added to the minced meat, giving it a more assertive, kebab-like flavour, plus finely-diced onions, carrots and other vegetables mixed into the minced meat to form the patty.
The version here at Raja Burger eschewed lettuce and tomatoes for garnishes - which it offered as part of its “Western-style burger” - and only added raw chopped onions atop the cooked meat patty, before sandwiching it in-between two halves of a large bun.
When I was in Islamabad, Pakistan, a few years ago, I had a shami burger which had lettuce, tomatoes and a thick slice of omelette atop the spiced, minced lamb patty, and served with a side of fries.

