Few routes expose the geometry problem of long-haul travel quite like the Pacific-to-Iberia crossing, and after routing myself through this corridor several times, I can say plainly: there is no nonstop business class from Honolulu to Faro, and the smart money treats this as a two-airline puzzle rather than a single-carrier journey. The realistic path is Delta from Honolulu to a mainland gateway like Los Angeles or Atlanta, then a transatlantic handoff to either British Airways or TAP Air Portugal into Lisbon, with a short connection down to Faro. Delta's Delta One suite gets you across the Pacific and continent in a proper flat-bed with direct aisle access, which matters enormously on a routing that can stretch past 20 hours all-in. From a US hub, British Airways' Club Suite—with its sliding door and forward-facing layout—is the superior transatlantic product if you can position onto it; TAP's A330neo business class is comfortable and serviceable but a notch below in privacy and seat design.
The insider move here is booking the Lisbon-to-Faro segment on TAP separately as an add-on or using it as your connector, since TAP dominates domestic Portuguese routing and their LIS-FAO hop is short enough that seat product barely matters—focus your comfort budget on the long transatlantic leg instead. Arriving into Lisbon, business class passengers get expedited immigration lanes that make tight connections to the Faro shuttle far more manageable than they look on paper; I've made a sub-90-minute connection there without stress specifically because of that fast-track access. Seasonally, April, May, September, and October are the sweet spot—shoulder season means lower fares and you avoid both the August Algarve crush and the winter schedule thinning that TAP applies to Faro frequencies.
Because this itinerary depends on stitching together two or three carriers' award and revenue inventory, pricing is genuinely volatile week to week; setting up fare alerts across Delta, British Airways, and TAP simultaneously is the only way to catch the shoulder-season windows before they close.