Are you still running sim steering? If so, stop. It is the general consensus that normal is much more realistic for wheel users at this point.
That said, I have a few cars that are just sublime to drive with the wheel.
Give the 97 Civic Type R a shot. At C class with aero it is one hell of a fwd platform, very timid and easy to push. Another great one is the Mitsubishi Starion in D class. One of my absolute favorite cars in my garage at this time is a B class AW11 MR2(the oldest one) built for full grip, including aero. Max width slicks and then add power to top the class and you have a car that is fantastic, lightweight and only has ~160-180hp so you will not want to run her on anything that requires more than about a buck 25. Mine shines at Suzuka and tracks similar or shorter.
Once you get sorted out and want to have a little countersteering fun, build you a Toyota Corolla (AE86 Trueno) to D class and enjoy. It takes a little bit of sawing to get the best time out of it, but man is it a treat when you wind up getting it right. Single handedly the most rewarding car in the game for me at this point in time. I believe my build has sport rubber on it and platform/drivetrain parts to round it out.