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Photo: David Kernan, CC BY 4.0 via Wikimedia Commons
This opulent Georgian mansion is in the same block as the Archaeology Museum. Designed by Cassels, it was built in 1745 as the residence of the Duke of Leinster at a time when the southside was unfashionable. It proved an "anchor development" and Dublin's centre of power and culture soon gravitated from the northside. From 1922 it became the temporary base of the Oireachtas, the Irish bi-cameral parliament, and like the Ulster border it remains temporary over a century later. Tours are only available if you're sponsored by a TD or senator.
Leinster House is the seat of the Oireachtas, the parliament of Ireland. Originally, it was the ducal palace of the Dukes of Leinster.
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Amazing display of Ireland's artefacts from prehistory through the Viking era to independence. The standout is the Treasury (with the 12th century Ardagh Chalice and 9th century Tara Brooch), and the prehistoric jewellery: gold and silver beautifully worked and carved.
The "Dead Zoo" contains a comprehensive zoological collection presented in a manner unchanged since its establishment in Victorian times.
Impressive national collection of Irish and European Art. In January the gallery displays its watercolours by JMW Turner; the original donor specified that they had to be kept out of the light for the rest of the year.
Their main building on St Stephen's Green is closed for renovation, so this is a temporary home. It displays the 20th-century social, cultural and political history of Dublin city, with many artefacts donated by Dubliners. Visit by guided tour every hour.
Trinity College is the fine Georgian campus of the University of Dublin. It's generally open to stroll around in daylight hours, but it is a working university, and most interiors are off-limits to tourists. You can visit the Chapel near the front (west) gate of the College. But the big attraction is the Old Library and Book of Kells. Book online, otherwise buy your ticket from the machines under the Lecky library just south. This is for a timed slot, and at weekends may be booked out. You enter an exhibition hall setting the Book in the context of other monastic writings of its period, circa 800 AD. Next enter the display area: only two pages are displayed at any time, one being richly illustrated with little text (or no text, on the "carpet" pages), and one page being text of the Vulgate Gospels, written in Insular Majuscule Latin. But it's difficult to enjoy, with crowds jostling round the display case. Next, go upstairs into the massive Long Hall of the library, with books and ladders and more books and ladders towering away upwards. No books are accessible to the public. Last but not least, exit through the gift shop, which can be entered without a ticket.
Founded in 1871 so this is the oldest continually operating theatre in Dublin. It hosts popular musical shows, opera, ballet, dance and drama.