You could read the report mentioned in the response to one of the previous questions on this forum (8 questions prior to yours). That gives you a respected survey of the top agencies in the consulting industry. Each has a site and you can then get an idea if any of these can help you to achieve your ambitions or you might want to phone them and ask.
However at any level of experience you would be unwise not to consider other channels. Many consultancies might prefer you to consider other routes in (ie. graduate training entry direct from their site, or you could consider trying to get a support role first in a consultancy, before making an internal move into a consulting role if your work experience is relevant to their support roles.)
Good luck - it's a bit like a brick wall getting in - go under it, round it or ask for help to get over it - but avoid going through it head first!