My all time favorite, The Quiet Man with John Wayne, Maureen O'Hara, and Barry Fitzgerald (one of my favorite actors)
Michael Collins with Liam Neeson and Julia Roberts
In the Name of the Father with Daniel Day-Lewis and Emma Thompson
Waking Ned Devine - I can't remember who's in this one but it's really cute
In America, probably my least favorite of the bunch but still not a bad movie, although it's a little depressing.
That's all I can think of.