That's a very interesting parallel to note.

There is the storm that is known as the 'Great Red Spot' on Jupiter that has raged on for a very long time as you mentioned.

Here's a little more detail on the 'Great Red Spot'.

The Great Red Spot is a great anti-cyclonic (high pressure) storm akin to a hurricane on Earth, but it is enormous (three Earths would fit within its boundaries) and it has persisted for at least the 400 years that humans have observed it through telescopes.

Presumably the persistence of the Great Red Spot is related to the fact that it never comes over land, as in the case of a hurricane on Earth, and that it is driven by Jupiter's internal heat source.

[link to csep10.phys.utk.edu]

There is also the new storm on Saturn. Scientists describe it this way.

A giant early-spring storm in Saturn's northern hemisphere [is] so powerful that it stretches around the entire planet. The rare storm has been wreaking havoc for months and shooting plumes of gas high into the planet's atmosphere.

A storm like this is rare. This is only the sixth one to be recorded since 1876, and the last was way back in 1990.

[Scientists first] detected the large disturbance in December 2010. As it rapidly expanded, the storm's core developed into a giant, powerful thunderstorm, producing a 3,000-mile-wide (5,000-kilometer-wide) dark vortex possibly similar to Jupiter's Great Red Spot.

[link to science.nasa.gov]