Uh, this is dependent on what you are interested in in ancient world history. Here are some ideas:
1. the development of a major ancient civilization such as in Athens or Egypt.
2. the effects of the Black Plague
3. Trojan War is quite interesting
4. Silk Road
5. Holocaust
6. Some other war that you are interested in. Maybe a war that had a significant effect on you, your culture, your country or your family? This would be interesting to explore.
Hope this helped! It's pretty hard to answer because I don't know what you are interested in but hopefully one of these ideas is good to you : )
