The link monster card Galaxy-Eyes Solflare Dragon that came out turned the Galaxy-Eyes archetype back into a competitive deck to use. Back in the day when I had a friend who would duel me online, he used a Galaxy-Eyes deck and I made this deck inspired from duelling him.

Monsters
Galaxy-Eyes Photon Dragon X3
Galaxy Knight X2
Galaxy Soldier X3
Photon Vanisher X3
Galaxy Wizard X3
Photon Orbital X3
(17)
Spells
Monster Reborn
Power of the Guardian
Trade-in X3
Return of the Dragon Lords X3
Photon Sanctuary X3
Accellight X2
Galaxy Expedition X3
Galaxy Trance X3
Galaxy Zero X2
Called by the Grave
(22)
Traps
Royal Decree
(1)
(Overall cards in the deck is 40)
Extra deck
Link Monster
Galaxy-Eyes Sol Flare Dragon X2
(2)
XYZ
Neo Galaxy-Eyes Photon Dragon
Number 90: Galaxy-Eyes Photon Lord
Number 62: Galaxy-Eyes Prime Photon Dragon
Number 107: Galaxy-Eyes Tachyon Dragon
Galaxy-Eyes Full Armour Dragon
Galaxy-Eyes Cipher Dragon
Number 95: Galaxy-Eyes Dark Matter Dragon (Currently banned after making this deck!)
Starliege Photon Blast Dragon
Number 38: Hope Harbinger Dragon Titanic Galaxy
Number 103: Ragnazero
Starliege Lord Galaxion
Cyber Dragon Nova
Cyber Dragon Infinity
(15)
Combos
This deck’s main goal is to get Galaxy-Eyes Solflare Dragon up and a Galaxy-Eyes XYZ monster and a Galaxy-Eyes Photon Dragon all on the same turn.
Galaxy-Eyes Photon Dragon may be the main card used in this deck as you can use Trade-In to discard it and draw 2 cards and then use Return of the Dragon Lords to special summon it back from the graveyard and protection for later. One easy level 8 monster needed for XYZ summoning and Photon Sanctuary is an easy way to summon it or a Galaxy-Eyes Solflare Dragon.
Draw cards include Galaxy Wizard, Photon Orbital, Photon Vanisher, Galaxy Solider, Trade-In, Accelight, Galaxy Expedition and Galaxy Transfer.
Protection cards include Photon Orbital, Called by the Grave, Power of the Guardian, Return of the Dragon Lords, Royal Decree and any effect from the monsters in the extra deck.
For further understanding of this deck watch the video I have created on one of my YouTube channels below.