Find a LARGE empty parking lot. Come to a complete stop. Turn the wheel to the left, almost completely. Push clutch in and rev to 3,000 - 4,000 RPM's. Let the clutch out quickly (AKA - dumping the clutch). Tire will immediately spin like mad. Modulate the gas pedal to control the speed of the spin. Don't floor the gas pedal for more than a second - you will slam the rev limiter really quick in first gear when the wheels are spinning. Turn the wheel more to the left will also shorten the diameter of the circle, increasing the speed of the spin. Turning the wheel to the right will make the circle wider, until the Viper is eventually straight. This is how you can do a few donuts, and then take off in a straight line with the tires smoking/spinning the whole way. Turn it even further to the right and spin in the opposite direction. Once you get good, you can induce a spin at 20 MPH, but will need a lot of room, since while you are spinning your still moving forward. You will also need to rev the motor higher 5000 RPM's to get the tires spinning from a 20 MPH roll in first gear. I would not try this until you master the spin from a standstill. I would not recommend the parking brake manuver, unless you want to flat spot (ruin) your rear tires. When you slam on the parking brake from a roll you lock the rear tires/brakes. I recommend this on rental cars, not Vipers. If you get really good and daring, quick shift into seconds gear during a spin. That's when the smoke will really start to pour off the rears. Just realize the wheels will be turning 60-80 MPH in second gear, so if they decide to hook you better have a lot of room. Do not try this until you become a donut master.
You can also wag the tail of your Viper left to right. Point forward - wheel straight. Rev Viper to 3000-4000 RPM. Dump the clutch. You viper will begin go straight, but pull slightly to the left or right, depending on road - if your wheel is 1% towards left of right. Let of the gas slightly, but keep the wheel spinning. It will begin to straighten out. As soon as it hit the center point, punch the gas again. It will now move in the opposite direction. Once it feel like it is going to spin, let off the gas again, but keep the wheels spinning. It will begin to straighten out. Repeat process. Of course, practice in large, empty parking lots. VERY LARGE. Many people have wrecked there cars by trying these things, losing control, and jumping a curb, etc...
BTW - You will go through rear tires REAL quick if you do these things often.