Vilnius rarely tops the list of European business-class destinations, which is precisely why the routing deserves more attention than it gets. There is no nonstop option: business class from Houston to Vilnius requires a connection, and the most reliable path runs through Frankfurt or Munich on Lufthansa, with United and Delta offering their own one-stop itineraries via Newark/Washington Dulles or Amsterdam/Paris codeshares with partners. Lufthansa's long-haul segment out of IAH is typically flown on a 787-9 or A350, and depending on aircraft assignment you'll find either the older fully flat business seat or, increasingly, the new Lufthansa Allegris business suite with a closing door — worth checking your specific tail number before booking, since Allegris rollout has been aircraft-by-aircraft rather than fleet-wide.
Having routed through Frankfurt more times than I can count, my advice is to build in at least 90 minutes there even with a confirmed connection, since FRA's layout between concourses can eat time that doesn't show up on paper. Munich is the gentler option if your Lufthansa itinerary allows it — passport control and lounge access move faster, and the Lufthansa business lounge there remains one of the better transit experiences in Europe. The final leg into Vilnius is short and typically flown as a regional narrow-body, so don't expect business-class hard product parity with the transatlantic segment; treat it as a connector, not a highlight.
Seasonality here is straightforward: late spring through early autumn brings the best combination of fare availability and connection reliability, since winter weather in Frankfurt and Munich can cascade delays into the Baltic states. An insider trick I've used repeatedly is searching Delta's partner award space through Amsterdam rather than its own transatlantic metal, since KLM's Houston frequencies sometimes open premium inventory that Delta's own flights don't show. Given how thin and variable award and paid business fares are on this corridor, setting up dedicated fare tracking for Houston–Vilnius business class is genuinely the smartest way to catch the pricing windows before they close.