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dicepro: IMO, perfect information isn't a necessity for a game to work well on a turn-based site. The various boat games, Logic and Frog Finder are examples of games without perfect information that work well. Also, games involving dice don't have perfect information - but they work well.
What, IMO, is a necessity is that the history of the game isn't important. That is, all you need to decide on the best move is the current situation on the board, regardless of how it has been archieved. This is why, IMO, most card games are unsuitable for turn-based sites. (And that's why I don't like to play Dark chess or Espionage on a turn based site).