I'm not really sure exactly what you mean by capturing the feel of Ancient Egypt, but there are lots of games which are Egyptian themed.
Scitadel: Wycen got the name right, it is
Yspahan. Haven't played it, but it's supposed to be a really cool game.
Speaking of games Wycen mentioned, it is called
Ra, and it's my second favorite game after Tigris & Euphrates. Highly recommend it.
Others you might look into:
Scarab Lords, a 2-player card game where you try to take control of upper, middle and lower egypt.
Aton, a 2-player game that's kind of hard to categorize... BGG has it listed as abstract strategy, which sort of fits. You play rival priests trying to gain influence in the four greatest temples of Egypt. I like this one a lot, but have only gotten to play it a couple times.