Yes, in the "Kingdom Come" (Earth-22) epilogue it's mentioned that Wonder Woman is pregnant with Superman's child, the the child is born in the sequel "The Kingdom." More of their married life, which includes more children, is shown in Justice Society of America. Other Elseworld titles where they have children are "Superman: Distant Fires," "JLA: Act of God," and "Batman: The Dark Knight Strikes Again."
Yes, in some alternate Earth storylines, Superman and Wonder Woman have children together. These alternate Earths are part of the DC Multiverse, where different versions of characters exist in separate universes with unique storylines and relationships. Some of these stories depict Superman and Wonder Woman as having children who inherit their superpowers.
In the 2015 animated direct-to-dvd movie Justice League Gods and Monsters
The Earth-2 Wonder Woman married Steve Trevor and they had a daughter, Lyta, who became Fury.
Superman - Earth-Two - was created in 1969.
Adventures of Superman - 1952 Superman on Earth 1-1 was released on: USA: 19 September 1952
Superman's dad brought him to Earth when he was a baby because the planet Krypton was about to be destroyed. Superman was then adopted by a couple in Kansas.
In some storylines and alternate universes, Wonder Woman has been portrayed as being pregnant. However, her pregnancy status can vary depending on the specific comic series or storyline being depicted.
Superman - 1988 The Last Time I Saw Earth It's Superman 1-13 was released on: USA: 1988
Sonic lives in an alternate dimension, on an alternate Earth.
Superman is more famous, in fact the Superman symbol is the second most recognizable symbol on Earth.
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Superman
Currently (as of 2014) Superman and most DC characters of the "new 52" reside on what is called Prime-Earth, formerly called Earth-0 and New Earth, and is set in present time. Superman usually patrols the cit of Metropolis.