Vilnius rarely appears on the radar of Bay Area travelers, which is precisely why the routing deserves attention: there is no nonstop option, and business class from Oakland to Vilnius requires a strategic hub connection through Delta, American, or United's transatlantic networks, typically via Amsterdam, Paris, or Frankfurt. My preferred routing over the years has been Delta out of San Francisco (Oakland travelers simply hop over the bay) connecting through Amsterdam on a KLM-operated widebody, then a shorter regional jet into Vilnius — Delta's joint venture with Air France-KLM makes this the smoothest itinerary for reliable award space and lounge access in AMS. United routes typically funnel through Newark or Munich, putting you on their Polaris business class product on the long-haul segment, with Lufthansa handling the connection into Lithuania under the Star Alliance umbrella. American's best play is a transfer through London Heathrow, using British Airways or Finnair metal for the final hop, with American's own Flagship Suite covering the transpacific-to-transatlantic connection out of the West Coast.
The insider move here is booking the long-haul segment on whichever carrier offers a true flat-bed product for the 10+ hour domestic-to-Europe leg, then treating the final short hop into Vilnius as a formality — don't expect lie-flat seats on regional connectors serving the Baltics, so pad your layover in Amsterdam, Frankfurt, or Heathrow to shower and stretch before that last push. Arrive in these European hubs with at least 90 minutes of connection buffer, since Baltic-bound gates are frequently in remote terminals requiring bus transfers.
Late spring through early autumn brings the most consistent premium cabin availability on this corridor, as Lithuania's tourism season overlaps with lighter European business travel, easing competition for award seats. Given the complexity of these routings and the volatility of connecting fares through multiple hubs, setting up fare alerts for this specific city pair will save considerably more effort than manually checking three airlines' sites on a rotating basis.