Task Force One was a United Federation of Planets Starfleet task force deployed during the Kelvan War in 2285. (Orion Press: In Harm's Way)
Most of Task Force One was destroyed in the battle for Starbase 32.
Starfleet Command (RPG)[]
In this continuity, Task Force One one of three task forces assigned to the Starfleet First Fleet in the late 24th century.