~2 weeks ago, the FDA added a warning to the J&J Covid shot regarding increased risk of developing Guillain-Barré Syndrome.
Perhaps unsurprisingly, given the history with blood clots, my quick check of prevalence finds that reports of developing GBS following J&J vaccination are actually less than would be expected otherwise.
EDIT: Analyzed another way, GBS cases may be 3-4x more common in J&J vaccine recipients than base rates (still highly uncommon, but I see the potential association).