Interesting article about the game, how - despite being critically-acclaimed and a cult hit - seems to have had very little impact on adventure games in the last ten years. We have the next few years to see if Ueda can change that with The Last Guardian.
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Shadow of the Colossus is really a puzzle game rather than a monster fighter. The only other game I've seen really take that into play was the God of war franchise, but it's first game had some of that before SotC was released, so they may have taken no influence from it.