"Hi, <insert name here>. I know all about you. For instance, <insert the piece of personal information you have>. Wire me <insert large sum here> or I'll publish your browser history (or credit card statements, or anything else that sounds sufficiently compromising among some segment of the population)."
Against any particular target, this may not be effective if they don't care about the leverage you claim to have or call your bluff. However, since you have a data dump you can send this to every single affected individual and you'll get at least some bites.