The tokens copy exactly what was printed on the original creature and nothing else, with the listed exception (unless that creature is itself copying something else; see below). They don't copy whether that creature is tapped or untapped, whether it has any counters on it or Auras attached to it, or any non-copy effects that have changed its power, toughness, types, color, and so on.

If the copied creature is copying something else, then the tokens enter the battlefield as whatever that creature copied, with the listed exception.

If the copied creature has {X} in its mana cost, X is 0.

If the copied creature is itself a token, the tokens created by Aggressive Biomancy copy the original characteristics of that token as stated by the effect that created it, with the listed exception.

Any enters-the-battlefield abilities of the copied creature will trigger when the tokens enter the battlefield. Any "as [this creature] enters the battlefield" or "[this creature] enters the battlefield with" abilities of the creature will also work.