Cedarjet: The issue you are referring to has recently been discussed here
. I can fully understand your sentiment.
On the transatlantic question:
So, do delivery flights count? In that case, regional jets and others are allowed to cross.
About certification - I don't think there's a specific "allowed to fly transatlantic" certificate. I think it's the range they are certified for, and if they are twinjets, their time allowed away from land. So take the two closest airports on either side of the pond, compare that to the ranges of all known airliners, find out whether they're ETOPS certified if they're twins, and you know the information. If a stopover in Iceland is permitted, I'd imagine even non-BBJ
737s can do the trip, as well as normal A319s.