Goodgey is the cheerful, well-meaning hologram left behind when Sam Rutherford's murderous creation Badgey split apart, and he is afterwards kept aboard the USS Cerritos as a helper.
Goodgey looks like his source, Badgey: a walking, talking Starfleet delta. He comes into being in A Few Badgeys More, when Badgey's programme divides and all of its kindness is partitioned off into a separate being, alongside the coldly rational Logic-y.
After Badgey ascends to a higher plane, Rutherford takes Goodgey back to the Cerritos and installs him as the guidance system for his shuttle grapplers. A recurring joke is that a shock or a glitch briefly gives him Badgey's menacing look before he returns to normal.
Goodgey joins the crew's effort against Nova Fleet in Old Friends, New Planets, helps T'Lyn take apart a shuttle in Shades of Green and is zapped once more in the series finale, The New Next Generation. He is voiced by Jack McBrayer.