[color=#1C2837][size=2]With respect to Dwarf Fortress / Minecraft, the act of digging out ground anywhere and building anything out of the mined stuff. This "Lego sandbox" paradigm[/quote]
I think everyone would agree that these are "sandbox" games -- but that alone isn't a unique descriptor that would allow them to be identified -- Grand Theft Auto is also often touted as a sandbox style game, but is very different from Dwarf Fortress or MineCraft. I've not played Minecraft, but I would also strongly identify Dwarf Fortress as a "simulation", if what I've heard is correct I believe both Dwarf Fortress and Minecraft could be described as "exploration" games.

[color=#1C2837][size=2]Orchestrating gigantic and complex traps or even simulating computer logic using traps and triggers. This is present in DF, Minecraft and Evil Genius.[/quote]
You'' also find these mechanics is puzzle games such as Fantastic Contraption. Depending on the specifics of the game in question I've often seen this type of gameplay labelled as "physics puzzle", "logic puzzle" or "trap-builder".


The remaining 3 all strike me as "simulation".

I don't know how useful that might or might not be, but that's the first terms that come to mind when I try to describe those.

The remaining 3 all strike me as "simulation".