There's a pub in Dubin called The Long Hall which I always thought was a good one.

One outside Dundalk called the "Blue Anchor" which has to be pronounced carefully, particularly in the local accent.

There's one in Howth outside Dublin called the Cock Tavern, which was previously called The Cock Inn, which gave rise to some "How far is the ..." jokes.

Also a pub in Co Kilkenny near some caves called the Cave Tavern - I suppose they thought it would be tempting fate to call it an Inn.