#1: Interactions
Implement a dialogue box/wheel.
With the Player Character now a silent protagonist, this is the perfect moment to introduce NPC conversation interactions like we have seen in Elder Scrolls and previous Fallout games.
This gives the player another avenue to learn about the world while also establishing relationships with characters.
#2: character creation
I would think that when you take advantage of creating a sequel and implement a better character creation.
Simply put we need more options when creating a character. We have very few faces to choose from and we can't customize facial features such as, the nose, ears, mouth, eyes, chin, cheekbones, eyebrows, etc.
Also where are the beards? There's a character we meet in destiny to who has a beard, but we can’t get one?
If changes like this do happen in Destiny 2, maybe put in a barbershop so then they can change their looks
#3: NPCs
I'll be Blunt, the World is empty. There are plenty of baddies to kill, but there is a severe lack of world building characters. Take a look at other story heavy games that use explorable environments.
Their worlds are Full of characters for players to interact with, both large and small, that make it feel alive.
Put in characters that don't have much connection to the main plot but have dialogue options when approached.
Make us care about the people in the world.
#4: Ghost
Make the Ghost a character we can interact with. Who we can ask questions. Who we can develop a connection with. Look at how Dragon age does companion interactions. Or even how Titanfall 2 makes us care about the main protagonists; Cooper & BT.
#5: Wildlife
Destiny takes place 1000 years in the future. I'm sure with nature taking over, and who knows what was done in the golden age, that there are plenty of fauna for players to see running around.
Deer, Elk, Wild Dogs, Birds, maybe a bear, etc.
The world is a big place, fill it.
#6: Side Quests
This goes back to adding more NPCs.
Adding a plethora of side quests to the various NPCs gives the players reasons to explore the environments.
Side Quests also serve as a great way to flesh out the world.
#7: Camera
Give the players the option to move between first and third person perspective. Don't make it so they have to use first in combat and third in social.
Forcing different camera perspectives takes away immersion and leaves the player with less options.
#8: Lore
Like other Story heavy games, have a lore codex that players can look at in the game.
Have it start out with any basic information the player is curious about, then have it update with each new finding, encounter, and as you progress through the story.
Also put Books, Journals, Audio files, Drawings, dead bodies with personal belongings, etc. that players can check out.
Having the option to ask the Ghost questions about the world, would be a great way to introduce and immerse players into the universe.
Veterans from Destiny 1 should automatically have more lore than new players.