I have flown Norse Atlantic Airlines twice and booked another round trip for the fall. Here is a sample of their current prices from Los Angeles. Keep in mind I have paid even less and round-trip flights can be even cheaper so make sure you check both depending on your flexibility.
I would also check flying into one airport and departing from another airport. That would be more adventurous and possibly cheaper too. Fly into Athens and leave from Paris, using Los Angeles as an example. I have blogged/bragged about the deals I have taken advantage of in the past.
These are the two one-way flights that I have already taken, which included a carry-on bag and a personal item:
LAX-LGW $109
(Los Angeles to London Gatwick)
FCO-LAX $216 Euro/USD
(Rome to Los Angeles)
This is the return flight I booked for fall 2025 for $402, which is also an incredible deal.
Watching those prices drop and get out of Dodge!