Crete's rugged coastline and Minoan ruins reward the effort it takes to get there, and that effort is considerable: there's no nonstop option, so business class from Albuquerque to Heraklion means routing through at least one major European gateway. The most reliable itinerary funnels through Frankfurt or Munich on Lufthansa, connecting onward to Athens or directly into Heraklion depending on season, with Air France offering a Paris-CDG alternative and Aegean Airlines handling the final intra-Greek hop when needed. Total journey time runs close to 13 hours in the air, but factor in a 2-3 hour layover minimum, since Heraklion's airport is compact and doesn't reward tight connections through congested European hubs.
Lufthansa's long-haul segment from a US gateway is where you'll want to allocate your miles or cash, and depending on aircraft rotation you may find their newer Allegris business class seats with sliding doors and adjustable panels on select 787 or A350 routes, though older 747-8 and A340 configurations with lie-flat seats still appear on many US-Frankfurt pairings—worth checking your specific booking's aircraft type before assuming Allegris. Air France's A350 business class, with its more private herringbone-style seating, is a strong alternative if routing through Paris suits your onward connection better. The Aegean leg into Heraklion is typically short-haul business, meaning a comfortable regional seat rather than lie-flat, so don't expect premium hard product on that final stretch—the value is entirely in the long-haul segment.
My insider tip: book the Athens-Heraklion connection with enough buffer to clear Greek domestic transfer procedures, which can be slower than expected during peak summer months, and consider flying into Heraklion via Athens rather than direct seasonal routings, as Aegean's schedule reliability on that trunk route outperforms less frequent direct European services. April, May, September, and October offer the sweet spot of good weather and softer demand, avoiding the July-August crush. Given the multi-airline complexity of this route, setting up fare alerts is genuinely the smartest way to catch favorable business class pricing before it shifts.