Yep, La Trappe lost the Trappist title back in 1999, but has regain it in 2005 and is brewed by Bavaria
The monk only has a executive role, but this also happens in Chimay
There is also number of Trappist “Cistercian” monks/nuns in Irelands, but alas they dont brew
Bolton Abbey, Moone, Athy, County Kildare
Mellifont Abbey, Collon, County Louth, oldest cistercian house in Ireland est.c.1142
Mount Melleray, Cappoquin, County Waterford
Mount St. Joseph Abbey, Roscrea, County Tipperary
St. Mary's Abbey, Glencairn, Lismore, County Waterford