Time-active
A time-active civilisation or power was one which had mastered time travel and its paradoxes. These were apparently not common in the universe, in no small part due to the intervention of the Time Lords, who did not look kindly upon potential rivals. (TV: The Time Warrior, The Two Doctors, PROSE: Sky Pirates!)
Examples of time-active
The Faction Paradox was a time active organisation which revelled in paradox. They could also be seen in some fashions as a temporal terrorist organisation. (PROSE: Alien Bodies)
The Daleks had time machines, (TV: The Chase and others) and used time corridors (TV: Resurrection of the Daleks) and emergency temporal shifts. (TV: Doomsday) The Daleks ultimately sought to usurp the Time Lords, (TV: Remembrance of the Daleks, AUDIO: The Apocalypse Element) leading to the Last Great Time War. (PROSE: Dalek: The Astounding Untold History of the Greatest Enemies of the Universe) Following the establishment of the New Dalek Paradigm in the post-Time War universe, the Daleks sought to achieve total mastery over space and time first using the Eye of Time (AUDIO: City of the Daleks) then the Eternity Clock (GAME: The Eternity Clock) only to be continually thwarted by the Eleventh Doctor, falsely believed to be the last of the Time Lords. (PROSE: Dalek: The Astounding Untold History of the Greatest Enemies of the Universe)
The Cybermen used time travel on several occasions in an attempt to conquer more vulnerable time periods. (TV: Attack of the Cybermen, AUDIO: Real Time, COMIC: The Flood) On Telos, the CyberNeomorphs achieved the capability of time travel only after acquiring an alien time vessel from Hatre Sedtry. (PROSE: Attack of the Cybermen) At the end of the universe, their alliance with Rassilon allowed them to wage an all-out attack on the timeline which was ultimately erased by the Twelfth Doctor and a remorseful. (COMIC: Supremacy of the Cybermen)
The Sontarans used an osmic projector to time travel (TV: The Time Warrior) before making a failed attempt to seize the power of the Time Lords. (TV: The Invasion of Time) Despite their best efforts, they failed to secure a front in the Time War, much to their dismay. (AUDIO: The Sontaran Ordeal, The Eternity Cage, TV: The Sontaran Stratagem) Following the first Flux event, the Sontarans fielded a fleet of timeships in an ill-fated Temporal Offensive. (TV: War of the Sontarans)
The Monan Host, while not on par with the Time Lords, possessed powerful time ships. (AUDIO: The Apocalypse Element)
The Enemy were another power opposed to the Time Lords. (PROSE: Alien Bodies)
The Time Agents in the Time Agency used vortex manipulators to master time/space travel. (TV: Utopia, The Sound of Drums)
The Trods developed time travel technology. (COMIC: Pursued by the Trods)
The Androzani trees were capable of forming a psychically controlled room capable of safely navigating the Time Vortex. (TV: The Doctor, the Widow and the Wardrobe)
A group of Slitheen managed to create temporal drives for use in a time travel tourist package. (PROSE: The Slitheen Excursion)
The Korven had ambitions to rule time and space and attempted this by invading in the past planets they had failed to conquer in their own time. (TV: The Korven, The Eclipse of the Korven)
The Nekkistani used time-cruisers to travel the Time Vortex. (AUDIO: Terror Firma)
The Order of the Black Sun started the first time war against the Time Lords. (COMIC: Star Death, 4-D War, Black Sun Rising)
Other references
After enduring the Cybermen incursion into the Federation universe, as well as encountering the Eleventh Doctor, the Borg sought to investigate and master time travel in order to assimilate the Time Lord. (COMIC: Assimilation²)
Behind the scenes
The film Star Trek: First Contact, which was released beforehand, establishes that the Borg did indeed master time travel as they intended to at the end of Assimilation², with the ability being demonstrated by a Borg sphere. While the Vulcans initially deemed time travel to be impossible, the Star Trek canon establishes that both the United Federation of Planets and the Klingon Empire developed time travel capabilities prior to Assimilation², though the crossover does not acknowledge this.