For San Francisco to Dresden business class, Lufthansa via Frankfurt or Munich is usually the cleanest connection, and their newer Allegris suites on the A350 are worth seeking out specifically — ask your Travel Manager to confirm the aircraft type, since older 747 and A340 configurations still fly some Frankfurt rotations. United's Polaris product connects through Chicago or Newark with lie-flat 1-2-1 seating and decent lounge access if you're routing eastbound through a US hub first. British Airways' Club Suite, with its sliding door, is arguably the most private hard product in this group and connects via London Heathrow. Turkish Airlines routes through Istanbul with excellent DO&CO catering and tends to price aggressively, while Air France, KLM, Finnair, and SAS all offer solid 1-2-1 lie-flat options via Paris, Amsterdam, Helsinki, or Copenhagen — Finnair's Helsinki routing is worth a look even though you're not continuing to Asia, since their off-peak business fares to Europe run competitively.