The Irish Times - every day - excellent paper, and ok for eL news. Last week I started playing Sudoku :D !
Others:
The Irish Examiner - good for 'outside Dublin' stuff, eL stuff is quite good.
The Financial Times - A wonderfully serious newspaper, and very good for European news.
Le Monde (I speak French!) - Also a serious paper, but sometimes it can be a heavy read.
Others that I get occasionally - Irish News (for northern news), Lá (in a desperate attempt to imporve my Irish!), The Guardian (though sometimes I think that its a bit too red), The Washington Post and the New York Times (both on the internet).