A body sway bars

I have a stock front on my 66. I wish it had a rear to balance it out. It always feels strange when the front corners flat and then the body twists as the rear comes up. Subframe ties would help that car a lot as well. Things loosen up a lot on 50 year old cars. Especially hardtops. Sedans are more rigid and converts have a lot more reinforcement.

Totally agree.

The need for a rear bar totally depends on the suspension and tire set up. In 100% stock form with the undersprung front the rear bar can make the car oversteer. But if you start changing things then it depends on your set up. Larger front torsion bars can make the rear bar useful. So can something as simple as a tire stagger front to rear, which is pretty common for people to do. If the rear tires are wider than the fronts you might benefit a lot from a rear bar. All kinds of stuff goes into it, even a raked stance can change the needs of the car.