Peugot 205GTI - Icon of the small hot hatch cars. They are quite expensive to maintain and repair due to the cost of pug parts
Honda Civic EG Vti - has vtec, sunroof and a nice looking car in stock form
Toyota Mr2 Aw11 - rear wheel drive, mid engine, gets plenty of looks and mistaken for old school ferrari.
Nissan N14 SSS - sr20de, zippy little car. (car has had turbo conversion so disregard the fmic, bonnet is from a gtir)
Nissan R31 2door import (non turbo) - rare to find non turbo i believe, only seen one for sale..
Honda Integra DC2 Vtir or Type-R - Quick cars, handle awesomely well
Also you can get r32 gts, r33 gts4, r34 gt, r31 sil etc
With the p-plate laws they dont allow any cars with power, so you're better off finding a car which can handle the best. Some of the cars listed above could keep up if not out handle your standard silvia/skyline on twisty roads, but it all depends on the drivers skill.