I agree with the colleagues, in seismology we say aseismic slip to describe the creeping or displacement on the fault which did not result from a seismic event. please consider this example:- Aseismic slip is a slip of a non seismic origin !
Yes, aseismic is the term used for displacement of earth material that does not generate seismic waves. However, sizable landslides are often seismic in the sense that they do generate seismic waves.
I disagree with most of the above comments. The above terms are used in English in different contexts so both are correct in their own right. Geologists and Engineers call "aseismic" an area where earthquakes are very rare and rather weak or non existing at all. Such areas are also known as Cratons if their are very big (e.g. Siberia, Canada, Australia). "Non-seismic" is a term that describes causal events or effects rather than the landslide event itsself. Hence, you may use the term "aseismic" to describe an area where a landslide has taken place. You may use the term "non-seismic" when you elaborate on the trigger or causal event of a landslide. For example, a "non-seismic" trigger event is erosion at the foot of the slope, or extreme rainfall that increases the pore pressure above the effective strenght of the materials. A "seismic" event may cause dynamic loading on a slope, increase the pore pressure inside the soils or / and produce peak ground motion such that it reduces the strenght of the slope materials. I hope that it is clear to you now.