Both the Earth and Sun are roughly spherical and rotate on an axis.
Both have satellite bodies and revolve around a larger mass (Earth around the Sun in the solar system, the Sun as part of the Milky Way Galaxy).
Both have mass that imparts gravity.
Although the Earth has a higher percentage of heavier atoms (iron, aluminum, oxygen) compared to the Sun (mostly hydrogen, some helium) both contain at least some of the same chemical elements.
Each is also hotter at its core than its surface.
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The sun and the earth both have hotter core, i.e. there surface is much more cooler than that of its core. The sun, the earth and the moon all are situated in the same galaxy. The sun, Moon and The earth are somewhat spherical in shape.
The Sun, Moon, and Earth are all aligned in both.
they both have a sun
They are both in space
They are both layers of the Earth comprised of rock....other than that, there are no similarities.
One Astronomical Unit is the mean distance between the Sun and the Earth.