General:
* Elicit: This word implies drawing out something that is hidden or not readily apparent.
* Evoke: This word suggests bringing something to mind or into existence through a particular action or stimulus.
* Bring forth: This is a more direct and informal way of saying "cause to appear."
* Produce: This implies creation or generation of something.
* Reveal: This implies making something visible or known that was previously hidden or unknown.
More specific:
* Induce: This implies causing something to happen, often by a particular stimulus.
* Summon: This implies calling upon something or someone to appear.
* Generate: This suggests creating something new.
* Trigger: This implies causing something to happen suddenly and unexpectedly.
The best word to use will depend on the context of your sentence.