stokell is absolutely right ...
I've heard very good things about Air Transat ... a Dutch friend of mine uses it when she travels back and forth to Holland.
Air Canada has some good European specials as well. Their websaver specials are posted weekly, and if you keep an eye on it you can get in on some pretty good specials.
http://www.aircanada.com/en/offers/a...ver_fares.html
As for bicycle charges, when I fly Air Canada, I pay $50 for my bicycle in a cardboard box which I pick up from a LBS ... and that's really not bad.
If you have a look over the list of airlines here (scroll down), you can see which airlines charge for bicycles and which do not.
http://www.ibike.org/encouragement/travel/bagregs.htm
Rowan might have to confirm this but he flew between Australia and London (Heathrow) with Thai Air and I believe he had a good experience with them too.