Actually, there is a client of mine who has recruited in the past for a position very similar to what danielonn has described. It is not all First Class travel though (although it sometimes involves a mix of classes) and it often is ridiculously exhausting work (think 3-4 consecutive nights aboard planes, sometimes in middle seats etc..).
Daniel, if you are serious about this kind of a position please drop me an email and I may be able to put you in touch with the relevant people. Be advised that these are usually very sought after jobs (barely 1 in 100 gets selected) and the pay is also not the best. However, it is usually a great experience for a university student.