One, your real one, would be enough since the initial instructions strongly suggest picking an oddball or two. Let's just say picked:

Jack and the Beanstalk
Ender's Game
Grimm Fairy Tales
Baywatch
Shaft

Now if someone is from one of those, it might tell them something, but this is as likely to help as hurt the town I think, and at this time we don't know that everyone has a another player or more in the same setting, but now someone else sees this and while picking their 4 fakes lists

Bay Watch
LotR
WoT
Ender's Game
Predator

Now, how in the world will a third party from none of those places guess person A and B are from a given place, looking at it, as a fan of Ender's Game I might say, "Ah, and a beanstalk reference too, why clearly A is the character Bean from OSC's Ender, so the other guy is probably from Ender too" Only it turns out A is a cop detective and is Shaft from the self-titled show, and B is actually Bela the Horse from WoT.

I think this is pretty safe, and honestly I can't think of any other things that would stimulate chatter and be potentially helpful that aren't more dangerous. We can even make it safer by suggesting some people deliberately include draws for fire with things like "Dr. Quincy, Medicine Woman" implying doc-dom and "McGruff the Crime Fighting Dog"