The orbital planes of the different planets are all tilted in various random directions with respect to the equatorial plane of the Sun, and thus tilted in varius random directions with respect to each other.
There is a difference in angle between the Sun's equatorial plane and what is called the invariable plane of the Solar System.
The invariable plane of a planetary system, also called Laplace's invariable plane, is the plane passing through its barycenter (center of mass) perpendicular to its angular momentum vector. In the Solar System, about 98% of this effect is contributed by the orbital angular momenta of the four jovian planets (Jupiter, Saturn, Uranus, and Neptune). The invariable plane is within 0.5° of the orbital plane of Jupiter,1 and may be regarded as the weighted average of all planetary orbital and rotational planes.
The article has a table of the orbital planes of the various planets and some other objects in the solar system, listing how much each orbital plane is tilted compared to the ecliptic (the orbital plane of Earth), the Suns equator, and the invariable plane of the solar system.
As seen from planet Earth, the Sun appears to move thorugh the ecliptic plane, the plane of Earth's orbit.
Of the major planets, the orbit of Uranus is tilted the least from the ecliptic plane, by only 0.77 degree, while the orbit of Mercury is tilted the most compared to the ecliptic plane, by 7.01 degrees.
A tilt of 7.01 degrees is not much, and I expect that the Mercurian zodiac is very simular to Earth's zodiac.
On Earth there are 12 constellations of the zodiac. But the ecliptic plane passes through 13 constellations, with Ophiuchus being the ecliptic constellation not included in the astrological zodiac.
So depending on the exact direction of the tilt of Mercury's orbit, the ecliptic planet of Mercury could pass through Ophiuchus much more or much less, perhaps not passing thorugh Ophiuchus at all. There are examples of other ecliptic constellations where the ecliptic passes very close to their official boundries with aother contellations, and where a slight tilt might make the ecliptic plane pass through other constellations.
Thus you need to find out details about the orbit of any particular planet you are interested and find out how to plot the planet's orbital plane against the background of the stars to trace the apparent movements of the Sun in the sky of that planet.
And possibly there is some specialized astronomy or astrology site on the internet which has done that.
And the orbits of planets in other star systems are tilted very randomly with respect to our solar system, and no doubt there are exoplanets with orbital planes at right angles to that of Earth.