If you don't want to fly in a aircraft which requires a computer to fly then avoid anything Airbus and almost all other modern passenger jets. The 737 is litera

If you don't want to fly in a aircraft which requires a computer to fly then avoid anything Airbus and almost all other modern passenger jets. The 737 is literally as close to that ideal as you'll find in service today. If an EMP goes off your are still in trouble though, the engines have FADEC, so they'll probably shut down.