If you bought all 3 of the affected sets from the same store, then unless the thief paid cash, the store should be able to cross-reference who returned those 3 sets. Convincing the store that doing so is worth their time may be difficult, since the thief could simply claim that the sets were already missing the minifigs when he or she purchased them. In the unlikely alternative that the theft actually occurred in the store, without the sets being bought and returned, then finding the culprit would be harder, but the case against him or her would be stronger.
If you get another set with the minifigs missing, you could try to lift fingerprints, but even that might not hold up in court (chain of evidence?...). So, I suppose the best you could reasonably hope for is that the culprit be restricted from returning sets or get scared away from the store upon being contacted by them, since the store likely would not want to risk the legal issues of telling you who has been doing it.
Alternatively, you could assume that the minifigs were taken to be sold, and check Ebay, Bricklink, etc. for any sellers that are from your region, and have listed all of those particular minifigs. Still, there would be no way of confirming who is guilty, short of a confession, and the list of suspects could be long.