Mode 7 on the SNES was usually fine. I don't know how accurately it rendered a single flat surface in 3D, but it felt real enough and responsive enough. Except for the very rare cases where they simulated non-flat surfaces (Speed Racer, Super Off-Road), even though that was technically much more impressive.
The effect just didn't work for me - it didn't feel like turning, it just felt like what it was: The game displaying a "left turn" animation and telling you that your car will now start drifting to the right if you don't press left. And that felt more like playing a Game&Watch toy.