I personally like the kind of game where I am IN the story. I get to "act it out" so to speak. Games like ME or Deus Ex where I am "part of the script" but I still have choices to how it plays out(or at least the illusion of choice) Mass Effect for example I am ALWAYS the "good guy" do the right thing, save everybody's life etc. I feel a connection to the characters and want everything to "work out"
While ME 3 was the poorest of the Trio(Which I haven't actually been able to finish because of "Online Pass" issues)I started it with a "full save" with both my ME1 and ME2 play throughs. There were so many "OH YEAH" moments where something I had done way back in ME1 or ME2 came back to greet me. Best one that comes to mind right away was I let the Rachni Queen live in ME1 and left her to go on her way. Well imagine my surprise when landing on some random Planet in ME3 and there she was needing my help again. What would have been there had I killed her way back in ME1? It's those kind of "decisions" and "outcomes" that make me feel "connected to a game and genuinely feel like I am part of the story/world.
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