Are there any comparable figures between The Epic of Gilgamesh and contemporary literature or life?
The characters of Gilgamesh and Enkidu have a special relation to one another. This is true when speaking entirely practically as the two men are both "part god" and "part man" and are not born via natural birth. They are brothers and they are even twins, of a sort.
However, the other level of their relation - the symbolic relation - is equally important and is easier to use as the basis for comparisons to contemporary literature.
Gilgamesh is tempered by Enkidu and the two fight side by side against forces of opposition and of nature. We can see a similar relationship in Batman and Robin, the famous super-hero duo. Robin tempers Batman and humanizes him and the two fight against supernatural and natural opponents.