This addon is bundled with Genie (get it heavily discounted)!
Changelog

3/29/25 - v1.2: added more mesh options (profile curve, caps, etc).


3/28/25 - v1.1: added spiral to create non-intersection effects.

Curl Curve

This is a simple addon that let's you curl any curve. Install to add it to the modifiers menu.

Note that curl curve comes with tons of controls. Choose the style of curling, the direction, and more.

If you want to apply the modifier you have to use Blender's Convert To Mesh operator.