No, Manchester is not a BD route to Dublin - only Heathrow.
It depends where you start from: ('if I were you , I wouldn't start from here...)
TAP, SAS , Swiss all are mentioned on the list of airlines, though I don't know if some are just code-share. SAS does Copenhagen - great airport.
http://www.dublinairport.com/flight-...ght-timetables should give more info, but its not a great site, and you will have to download the timetable to get a full list of airlines