A high weight to torque ratio means you have very little torque with tons of weight. What you want is a high torque to weight ratio.
But it isn't jut torque and weight. It's REAR WHEEL torque, and grip of the tires. You need the lowest grip tires (which means CH tires on a car with very narrow and shallow contact patches) with very little weight over the rear wheels.
The real issue though is what you're describing, and that is a matter of technique. It takes very little torque to spin the tires at low tire RPM, that's the premise behind a burnout, so yes, almost all cars can do that. What you're trying to find is a car that can do that by just slamming the gas, a rather useless way to go about it.