Hey Mahlia,
It's great that you are planning to discover
Irish culture and heritage on a future trip!
In theory, most attractions accept valid student cards (for the current year and with photo ID), including international ones. Are there specific attractions or sites that you'd like to visit? It might be worth checking on their website whether they offer a student discount in the first place.
In
Dublin for instance, I know that the EPIC Museum and Kilmainham Gaol accept all valid student IDs.
Hopefully, other forum members will be able to confirm this.
Antoine