A Safari was a type of recreational journey, traditionally centering on Africa wildlife.
Captain Jonathan Archer described Malcolm Reed's hunting trip on the Rogue planet Dakala as a safari. (ENT: "Rogue Planet")
In Data's Sherlock Holmes holoprogram, Countess Regina Bartholomew's mother was worried that her daughter might have been bitten by a tsetse fly on a safari. (TNG: "Ship in a Bottle")
Ferengi were known to go on Business safaris, opening up new territories for financial exploitation. (DS9: "The Emperor's New Cloak")