
Artifact
Untap all artifacts you control during each other player's untap step.

Untaps all your permanents each other player's untap step, broader version.

Untaps artifacts for repeated activations, synergizes with artifact-tap strategies.

Untaps an artifact to reuse mana rocks or activated abilities.

Untaps artifacts and grants unblockable, similar untap utility.

Improvise lets artifacts effectively help cast spells alongside untap engines.

Untaps nonland permanents including artifacts when casting spells.

Untaps artifacts for huge mana bursts, artifact synergy payoff.

Doubles artifact activated abilities, pairs with repeated untapping.
Those artifacts untap at the same time as the active player's permanents. You have no choice about what untaps and can't choose to not untap an artifact you control.
Some effects, such as the one generated by Rust Tick's ability, state that an artifact doesn't untap during its controller's untap step. These effects won't apply and stop the artifact from untapping during another player's untap step.
Even if you control more than one Unwinding Clock, you'll only untap your artifacts once during each other player's untap step.