Strasbourg's modest airport handles little beyond regional and charter traffic, which means there is no nonstop option for this journey — every itinerary in business class from Boston to Strasbourg routes through a major European or domestic hub, typically Paris CDG, Amsterdam, or Frankfurt. Air France offers the most logical single-connection routing via Paris, pairing its transatlantic 777 or A350 business cabin (with direct-aisle-access seating on the 777) with a short hop on an Airbus narrowbody down to SXB. Delta, through its joint venture with Air France, can also route travelers through JFK or CDG using Delta One suites on the long-haul segment. Lufthansa's option via Frankfurt brings its newer Allegris business class into play on select aircraft, though not all Boston departures are yet outfitted with the new cabin, so it's worth checking the specific aircraft type before booking.
Having flown all three routings multiple times, my strongest recommendation is Air France via CDG for the sheer frequency of connections onward to Strasbourg — sometimes six or seven a day — which insulates you against the kind of winter weather delays that plague Boston departures in January and February. If you're connecting through Frankfurt on Lufthansa, build in at least 90 minutes; the walk from the Star Alliance long-haul arrival gates to the regional terminal is longer than it looks on the map. One tip few travelers know: Strasbourg's train station is only a 20-minute drive from the airport, and in bad weather or during regional strikes, flying into Frankfurt and taking the TGV directly into Strasbourg city center can be faster and more comfortable than the final flight segment.
Fares in business class from Boston to Strasbourg swing significantly with the calendar — January, February, March, October, and November consistently offer the softest pricing, well before the Christmas market season floods Strasbourg with visitors. Given how much these fares fluctuate week to week depending on connection routing and carrier, setting up automated fare alerts is the smartest way to catch a premium seat before prices firm up.