1. Christ Church Cathedral
Christ Church is the older of Dublin's two medieval cathedrals, founded around 1030 by the Viking king Sitric Silkenbeard. It was rebuilt in stone in the late 12th century under the Norman lord Strongbow, then significantly enlarged through the 13th century using Somerset stone and craftsmen brought over from England. A partial collapse in the 16th century left it damaged for centuries, and the major Victorian restoration of the 1870s gave it the form it has today — including the tower, flying buttresses, and the covered stone bridge that connects the cathedral to the old synod hall.
The crypt is one of the best things about the visit. It's the oldest surviving structure in Dublin, running the full length of the cathedral, and it houses a small museum of medieval artifacts including two silver-gilt maces from the 1600s. The more peculiar exhibit is the mummified cat and rat — found locked together inside the organ pipes in the 1860s, preserved accidentally by the dry air.
The cathedral is still an active Church of Ireland church, which means Sunday services are not tourist hours. It's crowded during peak season but genuinely ancient in a way that many European churches aren't. It's among the best sights in Dublin for anyone with even a passing interest in Viking or Norman history.