I agree with everyone else so far in terms of safety; basically, if an airline is deemed even remotely unsafe, it will be banned from flying into the EU. There`s a list of airlines currently banned from Europe, meaning airlines with poorer safety standards do exist, you just won`t be flying with any of them. I`ve seen Kuwait Airways with cheap tickets across the Atlantic, and Norwegian offer low cost flights to the US from the UK. I wouldn`t recommend Iberia either; poor food, rude staff etc, only look at them if their fares are below everyone else's, which they`re probably not.