A thing I’ve enjoyed doing with Rings recently: running it into a filter. I know it doesn’t really need a lot of shaping, but I find that it often has a characteristic tone that I want to shape more beyond the parameters on offer.
I’ve been running into into a God’s Box Humpback (ie: 2-pole SEM-style multimode filter with seriously high maximum resonance/feedback) and, with the cutoff down, resonance up, and lots of CV, really enjoyed the weird screaming, percussive textures it produces; you can dial it back for something rounder, softer, and then pull in fairly natural sounding distortion.
Other things I really like in Rings: the 2-op FM mode, which I use a lot for basses.