No Man’s Sky lets you rename all your discoveries: Star systems, planets, animals (creatures / monsters), plants, waypoints. You can make discoveries after crafting the Analysis Visor for your Multi-Tool (press L2 to analyse environment).
To rename all your discoveries press the options-button (PS4). Now scroll over the solar system or planet you want to rename. On the planet discovery page there are sub-categories for the animals, plants and waypoints you have discovered on that planet. Only after selecting the planet in the menu you can rename the things you found on it. There is also a progress overview for every planet. It shows you the percentage of discoveries you have found. Each discovery is worth money. Discovering everything on a planet can give you well over 250,000 units. This largely depends on how many things there are to find on a planet. The bigger it is, the higher the reward for completing it 100%. And all players that stumble across your discoveries later will see what you named them and that you were the first to find it! Isn’t that awesome? So rename everything and leave your mark on No Man’s Sky’s universe 🙂