How to find houses on types of land with less risk of damage from earthquakes?
If you're in a first world country, talk to your local planning commission.  They should have huge amounts of data about seismic stability down to a block-by-block resolution.  They will have information in a detail that is far beyond your current understanding of the field, so be prepared to learn a lot! 

They can tell you block by block, even property by property, where the risks are, where they are not, and how to build for best survivability.  That last bit will be mandatory, actually.

Having licked the earthquake problem, you really ought to think about the far more dangerous factors in earthquake country: the brothers Wildfire and Mudslides.