Passover is centered around the idea of telling the story of the Exodus to your children. The Talmud bring many ideas to get children interested and keep them engaged in this story telling, many of which now form the core rituals of the Passover seder: breaking the middle matzah, dipping vegetables in salt water, and so on. Even the songs at the end of the seder were added as an incentive to children to remain awake until the end of the meal.
Games are another good way to keep children engaged during the seder. You can bring a game out at an appropriate time during the story telling, when interest begins flagging, or as a reward for a lively interactive conversation.
There are Passover versions of games that you already know: Word Search, Jeopardy, Bingo, Slides and Ladders, Go Fish.
I created Four Sons as a story telling game to explore the idea of the four types of children. Let My People Go, Exodus From Egypt, and Exodus: The Game of Passover are three simple English Passover themed board games for young children.
Good Reading, Ltd created four Passover themed games for children under their "Egypt to Canaan" series in the 1970s: The Plagues of Egypt, The Wilderness Wandering, The Ten Commandments, and The Conquest of Canaan. I don't know anything about these games or where to find them.
There are also Hebrew Passover games for children, such as דיינו or פסח שמח, and many others. You can probably find Passover games in your language, whatever it is; drop me a line if you need help with this.
After the seder, there are many games for grown ups not specifically about Passover but set in ancient Egypt. Some of these games are excellent, excellent games, including Thebes, Ra, Amun Re, Mykerinos, and Scarab Lords, to name a few.
Additional games set in Egypt can be seen on this list of games on Board Game Geek.