Which airlines fly international into Albany airport? I need to come from Europe

None directly. The 'International' in the airport's name was referring to flights to/from Canada.

American Airlines and JetBlue...

Domestic non stop flights from Albany may fly to: Atlanta, Georgia – ATL – Delta Baltimore, Maryland – BWI – Southwest Boston, Massachusetts – BOS – Cape Air Charlotte, North Carolina – CLT – American Chicago, Illinois – MDW – Southwest Chicago, Illinois – ORD – Envoy Air, SkyWest Airlines, United, ExpressJet Airlines LLC, American Detroit, Michigan – DTW – SkyWest Airlines, GoJet Airlines LLC / United Express, Endeavor Air Fort Lauderdale, Florida – FLL – Southwest, JetBlue Fort Myers, Florida – RSW – Southwest, Frontier Newark, New Jersey – EWR – Southwest, Republic Airline, ExpressJet Airlines LLC, United Express Ogdensburg, New York – OGS – Cape Air Orlando, Florida – MCO – Southwest, Frontier, JetBlue Philadelphia, Pennsylvania – PHL – American Punta Gorda, Florida – PGD – Allegiant Air Sanford, Florida – SFB – Allegiant Air St. Petersburg, Florida – PIE – Allegiant Air Tampa, Florida – TPA – Southwest Washington, Virginia – DCA – American Washington, Virginia –