Pax Napoleonica by Zach - Egypt becomes a French ally during the 1820s and 1830s.
In Atlas: The March Towards the End, Egypt becomes a French client state during the Napoleonic Wars as a revived Mameluke Sultanate. It stays this way until the 20th century, when populist movements overthrow the Mamelukes and turn it into the People's Republic of Egypt.
Know of any other timelines set here ? Feel free to add them.