Albany's regional airport doesn't offer a lick of transatlantic service, which is the first thing any seasoned flier needs to understand before booking business class from Albany to Cork: this journey always begins with a domestic connection to a major hub before crossing the Atlantic. Delta routes through JFK or Boston, funneling into its A330 or A350 business class cabins with lie-flat seats and Westin Heavenly bedding; American typically connects via Philadelphia or Charlotte, where its 777 or 787 business class (Flagship Suite on select aircraft) offers direct aisle access on the widebodies; United tends to work through Newark or Washington Dulles, deploying its Polaris business class seats with proper privacy doors on 767 and 787 equipment. None of these carriers fly nonstop into Cork with widebody metal, so the realistic play is positioning yourself for a single transatlantic leg into Dublin or Shannon, then a short connection or ground transfer into Cork—Aer Lingus regional service or a rental car covers that final stretch nicely.
Having flown this corridor more times than I can count, my strongest advice is to build in a buffer at your hub airport rather than booking a tight connection from Albany—regional jets out of ALB are notoriously vulnerable to weather delays in the shoulder seasons, and missing your transatlantic business seat because of a 50-minute layover is a mistake I've watched fellow travelers make repeatedly. An insider tip that rarely gets mentioned: if you're connecting through JFK on Delta, request an early boarding group even in business class, since the walk to the international terminal from certain domestic gates can eat into your lounge time meaningfully. October and November tend to reward patient bookers with softened business class award availability as leisure demand tapers, while January through March sees similar softness as airlines chase load factors during Ireland's quieter tourism months.
Given how these itineraries hinge on connection timing and seasonal fare swings, setting up automated fare alerts for this specific Albany-Cork corridor will save you far more than casual browsing ever could.