Business class North America to Europe from 1695$ with Star Alliance member TAP. On the route from Miami to Europe you may even fly with their brand new A330-900neo.
Flights are available the whole year, availability is the best when you look for dates well in advance, but of course not every single date will be available.
You may depart from New York, Miami, Washington DC or Toronto to many destinations in Europe see links below:
http://premium-flights.com/2019/02/06/business-class-new-york-to-europe-1695/
http://premium-flights.com/2019/02/24/business-class-miami-to-europe-from-1790-with-tap-a330-900neo/
http://premium-flights.com/2019/02/27/business-class-toronto-to-europe/
http://premium-flights.com/2019/03/02/business-class-washington-to-europe-from-xxx/