I highly recommend you guys try Warframe.
I thought it was just another freemium pay to win game but its not. (Everything is unlockable in game and it doesnt require a ridiculous gring like all of us day 1 players did for spin metal.) I thought the game sucked (I played it when it first released on ps4) and it did. But somehow they changed the entire combat system and layout and its a different game entirely.
It just like Destiny has:
Daily Missions
They're called Alert Missions and they spawn periodically and randomly multiple times a day
Traditional MMO loot system
You know who drops what and you can keep fighting them to eventually get what you want.
Enemies have a chance to drop modification cards that allow you to manipulate your weapon (perks) and you apply them to your weapon like the CoD . Point system
Nightfalls
They're called Nightmare and they don't shit on you like Destiny does because they tell you what the reward is for completing it
Multiple classes
A lot more variation considering there are at least 30 classes (Warframes) each with a unique set of skills and specials.
PVP
Space Battles
Survival Missions
Save the Hostage Missions
Spy Missions
You Can Trade
You can Purchase Your Own Clan Building to Meet and fight
Swords, Guns, Bows, Space Weapons,
A Story...
So if you're getting bored with Destiny like I am probably until the patch comes out in Dec where I'll be heading back to PvP for a bit to test out my handcannon, I recommend you try Warframe.
You can AMA about the game but I'm still relatively new so I can't answer everything
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Neverwinter Dragon Age Both seems like a good choice. If you are on XBL you might even have these in your free library...