Though for #1: You say you like Hearts, which does have some luck. I take it you're fine with a luck element as long as good players will generally beat worse players? I love board games and am trying to find others that you'll enjoy, but I'm wondering how much luck you're fine with.
And an Edit:
My question to you guys, what video game board games do you guys like? I'm talking about games sorta like Mario Party and/or Itadaki Street. Culdcept was really cool, except the AI cheats out the wazoo. I have Delve Deeper on Steam, and it's okay... but nothing great. Curious if there are any hidden gems I'm missing out on.
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No amount of planning will ever replace dumb luck.