How did the ancient Hebrews look like?

Answer 1

More than likely they looked like any other people in their part of the world. The only difference in appearance that I know of is that the men always seemed to have beards. Now, I'm not an expert on Jewish/Hebrew traditions, so the depicting of the ancient Hebrews with beards, may have been a religious mandate or simply a custom. But overall, they would dress the same as anyone else in their neighborhood.

Answer:

Just as today, Jews (Hebrews; Israelites) came in differing skin-tones, heights, and body-types. Our tradition is that the twelve sons of Jacob (the 12 Tribes) were not completely similar to each other in appearance, though none of them was really dark-skinned (Rashi commentary on Genesis 12:11).

Answer 2

Just as today, Israelites came in differing skin-tones, heights, and body-types. Our tradition is that the twelve sons of Jacob (the 12 Tribes) were not completely similar to each other in appearance, though none of them was really dark-skinned (Rashi commentary on Genesis 12:11).
Abraham and Sarah came from southern Iraq and their wider family from northern Iraq. Since DNA tests have shown that Jews intermarried infrequently throughout history, Abraham and his Israelite descendants probably looked like Jews today.
DNA testing of Jewish communities worldwide has shown that they are all interrelated and of Middle Eastern genetics, comparable to the Sephardim today (not African or Egyptian).
In 2000, the analysis of a report by Nicholas Wade "provided genetic witness that Jewish communities have, to a remarkable extent, retained their biological identity separate from their host populations, evidence of relatively little intermarriage or conversion into Judaism over the centuries. The results accord with Jewish history and tradition." (See: What race were the Israelites?)