Are flights to Europe being cancelled?
Direct flights to Western Europe (UK, France, Germany, Spain, Italy) continue normally. Routes that transited Iranian/Iraqi airspace are being rerouted, not cancelled, but with 2-4 hour delays.
Which airlines are still flying to Europe?
All major US and European carriers (Delta, United, American, Lufthansa, British Airways, Air France) continue Europe routes. Some have suspended Middle East destinations.
Is it safe to fly over the Middle East right now?
Iranian, Iraqi, and parts of UAE/Qatar airspace are closed to civilian traffic. Airlines are routing around the conflict zone via Turkey or Central Asia. This is standard safety procedure.