Turkish Airlines is the natural choice for Miami to Cappadocia business class, since it connects through Istanbul with minimal backtracking and puts you on Turkish soil before the final short hop to Kayseri. Their lie-flat 1-2-1 seats aren't the newest hardware in the sky, but DO&CO catering is genuinely excellent, and the Istanbul lounge is one of the largest and most impressive in the world if your layover allows time to use it. American Airlines' Flagship Suite, routing through a US or European gateway, gives you Casper bedding and access to Flagship Lounges domestically before a long transatlantic leg. British Airways' Club Suite is the standout for privacy seekers, with an actual closing door at every seat and White Company amenity kits, though you'll connect through London and likely backtrack slightly toward Istanbul. Lufthansa's Allegris suites, rolling out on their A350 fleet, bring German precision and some of the newest business class hardware flying today, routing through Frankfurt or Munich. Iberia, connecting via Madrid, is worth considering if you want to build in a stopover and enjoy Spanish gastronomy before continuing east.