Addis Ababa Airport departures is viewed here, wait while the page loads.
Map showing Addis Ababa Airport departures flight connection
Furthermore, as new airlines come, real time data updates automatically. In addition to that, features such as flight numbers, airport codes and destination cities are visible in the system.
This by all means is not the most comprehensive list of airlines flying to the country. The real time flight data only shows Addis Ababa airport which is the main hub for international and domestic flights in the country.
If you would like to view flight information of other cities in the country, you can do so here on this website.
Finally, view Arrivals here.