Earth have earthquake
Moon have a rare "moonquake", caused either by meteoric impact, tidal effect, slumping crater rim, or extreme change of heat.
Mars have "marsquake" which mechanism is still a mystery, but probably caused by landslides.
Venus have "Venusquake"
Io have "Ioquake" caused by tidal and volcanic activities.
Ganymede have plate tectonics like earth does, so of course it has
"Ganymedequake"
Enceladus and Triton have shifting surfaces, so it also have Enceladusquake and Tritonquake.
AS for Mercury
I would say it is very likely to have a quake (although probably very rare). Mercury have same extreme temperature change as the moon does, and it has elliptical orbit which can caused extreme tidal changes, so it is very likely for Mercury to have a Mercuryquake, even though it should be rare (because Mercury' surface is old, with lot's of craters, so earthquake should be rare)
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