Comedy Answer -
You sound like some of graduates I've worked with. You think the world owes you something because you have a degree, probably from a reasonable university, and probably in some lefty type subject.
Honest answer -
Realistically, if its a major multinational, to a point, they probably couldn't care less what you think. You are fresh out of Uni, have no experience, and they were probably doing just fine before you pitched up. As a graduate entrant you need to make it your lifes work to learn whatever they put you on. I know people who came into major corporations on graduate schemes who got thrown straight into coding and just got on with it, even without any experience in the subject. You can't honestly think you can pick and chose what you do, christ, you can't even do that at Tescos.
You need to take a step back and realise if you have any personal impact issues. Kicking off saying you don't want to work on xyz in my opinion will seal your fate. Jump before you are pushed, etc, etc.
Just slow down, realise they aren't going to throw you on hundreds of expensive external courses (Expensive as by the sounds of it you are in consultancy... remember they have the course cost AND the lack of your income when you aren't at a client site).
Career progression takes time, and a load of hard work and determination. Make the most of every role and situation you get offered and build up your experiences. If it isn't working for you consider leaving, but remember how it will look on your CV. You really want to do 2-3 years before 'giving up'.