Games to Play over Facetime or Skype : Conversation Games 1 Have a Truth or Dare Game. 2 Try puzzling among. 3 Conversation cubes. 4 Bedtime interesting stories -games to play with boyfriend online. 5 Play Charades. 6 Two Truths and One Lie- Skype Games for Couples. 7 Have an origami competition. 8 Blind drawing challenge.