Rogue Planet. Jupiter is far enough away, and isolated enough, that another Jupiter-sized planet (or larger) flung out of it's solar system, which would necessarily be traveling in a straight line, could pass close enough to lift Jupiter out of its orbit.
Note that the straight line could be from any direction; not all systems are oriented to spin in the same direction as ours happens to be spinning. So the rogue can come from "above" or "underneath" the flat plane most of our planets are in (convenient way to avoid collisions with any other planets). If it comes in to close to our own plane of rotation; you would have to worry about any other planets in its path.
As I said, we are not affected by any tides caused by the gravitational pull of Jupiter; Heck we aren't affected if all the other planets are aligned with us. So a rogue planet passing through close to Jupiter won't have any noticeable effect upon us either.
That said, the rogue entering and exiting our Oort Cloud, and our Jupiter exiting, could cause major disturbances there that ultimately result in many tens of thousands of asteroids being deflected into the inner solar system. When those have hit us in the past, most recently about 65 million years ago, they have caused Life on Earth a bit of trouble.