General:
* Sanctuary: This is a broad term for a sacred place, often used for religious purposes.
* Holy place: This is a more general term for a place that is considered sacred.
* Temple: This is a structure dedicated to the worship of a deity.
* Chapel: A small place of worship, often attached to a larger church.
* Memorial: A place or object that commemorates a person or event.
More specific:
* Altar: A raised platform used for religious ceremonies.
* Tomb: A place where a dead person is buried.
* Mausoleum: A large tomb, often for a family or a notable person.
* Reliquary: A container holding sacred relics.
* Cenotaph: A monument erected to honor the dead, especially one whose body is elsewhere.
The best synonym to use will depend on the specific meaning of "shrine" in the context.