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If you look at this projection of the world (not precisely sure what it's called, but probably something similar to a Dyson icosahedral projection), it represents all the landmasses of Earth in such a way that the shortest distances between them are maintained, more or less - a focus on land areas rather than the equator. I think it would be a pretty cool projection for Risk - and the point is that if you do a fantasy risk map, you can easily set the projection to something approximating this one.

Hai Etik is the guild member you want to get involved for more detail on the projection you should use ... or, alternatively, wikipedia+google+30 minutes

(Admittedly ... this projection does point out that the distance between North Africa and Brazil is a bit greater than UK-Iceland-Greenland )