Vega Reticuli was a planetary system.

A couple married in 1852 who were celebrating their three hundredth wedding anniversary on Risa were from a planet in this system. Captain Jonathan Archer met this couple while vacationing on the pleasure planet in 2152.

Archer met the couple while eating a seafood dinner from the deck of a small boat which sailed into the bay every evening after sunset. Archer relayed this encounter to Keyla Terrana the next night, confirming that the couple had "a lot of stories." (ENT: "Two Days and Two Nights")

This system was only mentioned in dialogue.
From the Star Trek Encyclopedia (4th ed., vol. 2, p. 453), "Vega is a real star in the constellation Lyra, normally visible from the northern hemisphere. Reticuli normally refers to a star in the constellation Reticulum, which is in a different part of the sky, visible from the southern hemisphere. Obviously, in the future, astronomical naming conventions have changed."