An amateur style of drifting, or "powersliding", front wheel drive cars, made most famous by Arabic people. You can find plenty of videos on the internet of this type of thing.
A Saudi Drift usually involves any maneuver performed in a front wheel drive car where the handbrake is pulled and left in place while the car is moving. This way, the front wheels can keep the car moving and under some amount of control while the rear swings around wildly.
Jake tied to pull off a Saudi Drift on the highway and ended up wrapping his Corolla around a telephone pole.