A degree that will create a foundation for your consultancy focus.
Make sure the content is international and that you are learning a 3rd european language when time permits.
What is a good consultant, it's not just a title, you will have to offer real advice beneficial to your clients based on real experiences in that field for that particular project problem.
Then there's "call me a consultant" jobs, because you will like the job title and will get paid low and have no real experience to offer as a graduate. Much like recruitment consultants (pure sales) or Floor manager ( s/he who sweeps the floor ).
Best thing is to apply early as an honours graduate and investigate as many internships as possible, (international experience is always good. After 3 years of solid experience, do an MBA at which time you will have more finances to pay for it and you will get more out of it !
ps Unfortunately client contact roles require also somebody who looks like they are from " Friends" or "Dallas" if you're older.
If your a techie consultant, it's less as a requirement. As I've worked with a few with shocking dress sense.
In a "lateral thinking way" these subliminal suggestions will help you. -Good luck with the next steps !