Zoom airlines appears to be booking flights from New York to London Gatwick.
That in itself is no big deal, but Zoom doesn't charge extra for a bike. That is a big deal. They charge each way but currently in Canadian dollars you can do London for less than $200.
I've flown with my bike on Zoom several times. They are a Canadian charter airline and as such have no first class. You are jammed in tight but typically you are treated and fed quite well (for a cheap charter).