0: https://en.wikipedia.org/wiki/Project_Pluto
1: https://en.wikipedia.org/wiki/Supersonic_Low_Altitude_Missil...
A ducted fan also does this, though its aerodynamics are a bit different. Like a propellor, there is little compression.
A 'turbine' turns flow into torque.
A traditional jet engine turns fuel into torque with a compressor and a turbine. Confusingly it's sometimes called a 'gas turbine'. It also incidentally moves air, but not very efficiently.
A turboprop drives a propellor with a 'gas turbine'.
A modern 'high bypass' jet engine (or "turbofan") drives a ducted fan with a 'gas turbine'.
An 'electric jet' drives a ducted fan with an electric motor. No turbine is involved.
This process isn't actually very efficient at moving air though, which is why gas turbines are now mostly used to power ducted fans, propellors, and helicopter rotors.
Also there is the distinction between just propeller, a turboprop, a turbojet and a turbofan. What we call jet airliners are typically high bypass turbofans. Turbojets (without bypass) have low efficiency at subsonic speeds, but they were used on Concorde and on fighter aircraft.