I haven't seen this reported elsewhere, but there are some interesting fares AMS-LHR-JFK-LAX-HNL, return to BRU:.£2127 in First (A).
American (AA) ILN8C1S4 AMS to HNLPERMITTED 20NOV THROUGH 26NOV OR 18DEC THROUGH 01JAN OR 01JUL THROUGH 31AUG ON THE OUTBOUND TRANSATLANTIC SECTOR.
Book before 4 Feb. Also available as a shorter run to LAX. And for a small premium there is something to/from HEL.