Pilgrimage
A pilgrimage was a journey to a religious location for spiritual significance.
In 2151, Prah Mantoos, a group of his species and a group of Borothan pilgrims ferried by Fraddock made a pilgrimage to the Great Plume of Agosoria and later witnessed the Plume in Enterprise NX-01's mess hall. (ENT: "Cold Front", "Detained")
In 2153, Pri'Nam D'Jamat and his group of Triannon followers took a pilgrimage to the twelfth sphere in the Delphic Expanse, where they encountered Enterprise and eventually took over the vessel. (ENT: "Chosen Realm")
On Terralysium, pilgrimages occurred to the White Church shrine in New Eden, although by the mid-23rd century they had dwindled, which was attributed to the battery units powering the building having died. (DIS: "New Eden")
In 2287, Sybok hijacked the USS Enterprise-A to undertake a pilgrimage to Sha Ka Ree which he told his followers would be "the greatest adventure of all time." (Star Trek V: The Final Frontier)
Quark made a pilgrimage to the Great Marketplace on Ferenginar while visiting home in 2372. (DS9: "Body Parts")
In 2376, Dala claimed she undertook a pilgrimage to Narva each spring in honor of the Redeemer of Light. (VOY: "Live Fast and Prosper")