Big objects in night skies
Well, consider, for example, a moon of Jupiter. This moon would have Jupiter in the sky, along with whatever assorted moons were bopping along that night. This would fulfill your requirements for plausibility.
To quote Wikipedia's convenient article on extraterrestrial skies:
For an observer on Io, the closest large moon to the planet, Jupiter's apparent diameter would be about 20° (38 times the visible diameter of the Moon, covering 1% of Io's sky). An observer on Metis, the innermost moon, would see Jupiter's apparent diameter increased to 68° (130 times the visible diameter of the Moon, covering 18% of Metis's sky).
Another example would be that of the skies of Enceladus, a moon of Saturn. To quote wikipedia again:
Seen from Enceladus, Saturn would have a visible diameter of almost 30°, sixty times more than the Moon visible from Earth [...] An observer located on Enceladus could also observe Mimas (the biggest satellite located inside Enceladus's orbit) transit in front of Saturn every 72 hours, on average. Its apparent size would be at most 26 minutes of arc, about the same size as the Moon seen from Earth. Pallene and Methone would appear nearly star-like (maximum 30 seconds of arc). Tethys, visible from Enceladus's anti-Saturnian side, would reach a maximum apparent size of about 64 minutes of arc, about twice that of the Moon as seen from the Earth.
Now, let's compare sizing of these moons and the Earth. Io has a radius equivalent to .286 Earth radii, and Enceladus a radius equivalent to 0.0395 Earth radii. So much smaller than Earth.
This may seem mildly discouraging, but in fact, it is quite possible for an Earth sized object to orbit Jupiter. According to this reddit thread:
There's no reason I can think of why Jupiter couldn't have an Earth-sized moon.
In principle, I don't see a reason why a Jupiter-sized planet couldn't have an Earth-sized moon. The only limitation I can think of that would prevent an Earth-sized moon to orbit around Jupiter is the Roche Limit. The Roche Limit describes the distance at which an object would be ripped apart from the gravitational tidal forces exerted on it by the larger object. It's essentially the same principle as how our moon exerts tides on the ocean, but on a much larger scale.
If we assume that the Earth is a sphere with constant density (it isn't, but let's do this for easy calculations), we can use the equation you can find on the Wikipedia page to calculate the limit. Plugging in for the mass of jupiter (1.9x1027 kg), the mass of the Earth (6.0x1024 kg), and the radius of Earth (6378 km), we get that the Roche limit for the Jupiter/Earth system is about 5500 55000 km away from Jupiter's center of mass.
Since Jupiter's radius (69900 km) is much larger than the Roche limit, then there should be no problem with an Earth-sized satellite orbiting Jupiter at any arbitrary distance, as long as it wasn't actually touching Jupiter.
tl;dr: yes, it's quite reasonable for big objects to be in an earth-sized planet's alien sky.