Is there a difference between “introduction to” and “introduction into”?

Solution 1:

Introduction into is non-standard in Britain and (as far as I know) most of the US when used in a figurative sense (i.e. in the sense of making acquaintance with).

Of course, one can introduce one physical object into another, or an idea into a conversation or intellectual construct:

Jorge introduced the stick of the firework into the neck of the milk bottle.

Hegel introduced the notion of a dialectical process into philosophical discourse.