Yes, dig dug was already mentioned, no, I don't believe the point of why dig dug was recommended was fully understood (not that you asked or noticed >.>). For the sake of everyone who can't take subtle hints, I will place the point that was trying to be made by that other person in bold letters.
Dig dug has nothing to do with dwarf fortress or minecraft, which in turn have little to do with each other outside of the fact that there is terrain and it can be manipulated on complex levels. I thought the World of Warcraft/Masters of Magic reference ground this in pretty thoroughly, but ah well.
Yes, but the gratification you are implying is in the case of building some grand feat of simple architecture all by yourself. We'll use a giant golden sack of balls as this achievement. In minecraft this is simple as it entails you spending hours digging down for the gold, then hauling it back up where you have to position the gold pieces in just the right order so that they resemble a sack of balls from afar. Horribly simple, horribly time consuming as well.
Now in dwarf fortress, I'm guessing I'll simplify it as I assume everyone here plays the game, the same applies with digging down to find gold but instead of you doing it you get to show dwarves where to dig, then you assign where the pieces go in just the right order so that they resemble a sack of balls from afar and wait for them to put it all together. Horribly simple task made complex by running a fortress, but not as time consuming.
Now lets look at my two golden standards for games: Cost and replay ability.
Minecraft is free for the simple version, but if you want the full experience you're going to have to shell out some monies. Dwarf fortress is completely free, although I've heard rumors that it'll cost you your soul in the future.
After you've got your golden sack of balls in Minecraft, there isn't much else you can do with it outside of blowing it up or jumping up and down on it. Once you've built your golden sack of balls that's about it, you celebrate the six hours it took you to do so, jump up and down on it for an hour, then blow it up and try to find something else to do.
Once you've got your golden sack of balls in dwarf fortress, you're left wondering what to do with the other five hours of your life that aren't being gratified. You then set up a goblin arena on top of the balls, and laugh every time a poor goblin dodges off the ballsack and explodes some 15 Z levels down. Forcing elves to trade on top of the balls is bonus points to anybody. That's not including if you filled the golden sack of balls with water, made the entrance to your fortress in the middle of said balls, and made a golden entryway in the shape of a penis. Goblin ejaculator, anyone?
And there it is, the grand difference between minecraft and dwarf fortress: ejaculating goblins.
^and to those who don't get that joke, please read all bold text in my post. Read it well.
I guess the point I'm trying to make is that there are different ways of gratifications for everyone relating to a large amount of differences in their personal life. Some people like looking at golden sacks of balls that they created, others like eating cats, both are different people. But when you are comparing two different games that can barely be compared you're going to get completely different people.
That, and all above points have been made so many times in so many places, I'm counting 6 different instances on this thread alone. To help aid my point, I have added this image that suffers from the same exact problem.
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Edit: Also,
This.
Re edit: My other half summarized everything I said in one sentence: "Wait, so they're comparing a construction game to a fantasy fortress simulator?"