The riddle threw us off, we started thinking about Helen of Troy, Circe, the Sirens, the Furies, and all sorts of mythological characters. Then, we called Game Control, who told us that all we were supposed to get from the first part of the clue was AMC, and that we should look for an ad. The photocopied page shows the only AMC ad in the guide.
From there, it was simple. Each of the times listed on the clue was a unique showtime for the Mercado 20 and Saratoga 14 theater. For example, 12:00 is the tenth showing of The Lizzie Maguire Movie, 5:05 is the second showing of Malibu's Most Wanted, and so on, to yield the following list:
1200 = The Lizzie Maguire Movie's 10th showtime
505 = Malibu's Most Wanted's 2nd showtime
1240 = Anger Management's 5th showtime
1215 = Bringing Down The House's 3rd showtime
550 = Identity's 4th showtime
520 = Better Luck Tomorrow's 2nd showtime
320 = What A Girl Wants' 1st showtime
525 = Confidence's 2nd showtime
1240 = Anger Management's 5th showtime
705 = Bulletproof Monk's 3rd showtime
455 = Daddy Day Care's 6th showtime
The 10th letter of The Lizzie Maguire Movie is M.
The 2nd letter of Malibu's Most Wanted is A
The 5th letter of Anger Management is R
And so on until we spell out M-A-R-I-N-E-W-O-R-L-D.
Game Control confirmed that we were going to head east to Vallejo for Six Flags' Marine World
