The most famous example of inonocraft is the aircraft with no-moving parts propulsion made by the MIT.
A problem of ionic thrusters is that they only generate a gram of thrust for every watt, which is really inneficient.
However, if one would to make a ducted ionic thruster that worked like a ducted turbine, wouldn't the thrust increase?
The closest thing I could find was this video that went viral some time ago showing an attempt of making a multistage ionic thruster.
The other ionic thruster that is worth talking about is an atmospheric ionic thruster satellite that will take the air from the edge of space and accelerate it. But that is an special case, since the aircraft will be sent there by a rocket and maintain orbit on its own. It won't take off on its own.