Petrol Turbo's - I used to own one, and have driven a number of Impreza's, including a rally prepaird one with anti lag.
Many of the better sports cars use a normaly aspirated petrol engine to avoid the problems with lag to make the drive through corners smoother and more controlled. The exception to this is rally cars, and the only reason I can see this is because they only use 2 throttle positions, on and off, so therefore it is not crucial for them to balance the throttle.
Diesels must be getting better though as Seat now have the Touring Car diesel, and there are the Audi Le Mans Sports Cars, both of which are wining circuit races.
My own experience of a turbo charged petrol sports car was that it made the torque band incredibly wide (more so than a diesels), and the car pulled with the same surge which ever gear you were in. However, getting the rear end to slide and trying to balance the throttle was just impossible!
IMO people who say they own a 'sports car' arnt really wanting a sports car, just some thing that gives them lots of acceleration and will drive them round a corner quickly without using much skill, hence why you can buy any number of mundane everyday cars dressed up to be 'sports cars'
The best sports car I have ever driven was a friends Caterham, but behind that was a Suzuki Cappaccino. Top speed of 85mph, skinny tyres, very light, excellent brakes, impecable handling with low levels of grip.