Here's the deal tbh. There's no need to sacrifice your life to grinding away for Power. You will automatically be drawn to it but the entire free stuff would keep you busy separately if you want to try out all the different gamemodes. Clearly the regulars will be wanting to get into the Moon and new content but whats great is we can play all the other stuff now with everyone else - and more importantly help each other get certain awesome weapons and beat hard activities. For an example, you'll get the Menagerie for free, a 6 player activity which is slightly down from a raid, however we played it on Heroic difficulty where the whole team can't wipe and it was one of the hardest things i've ever done. Great thing is though you can take your time, no revive timer and makes for some real clutch moments.
You don't have to do the stuff you've already done if you don't want to. Basically its in the first picture in the OP but all you've done is small box - Red War campaign. You could:
Do more story
Curse of Osiris DLC (not great story but nice grind for some osiris weapons and an awesome Search for Saint-14 quest with it)
Warmind DLC (One of the best search and find treasure games with finding music boxes and some exotic quests too. Better story than Osiris DLC
Forges with 2 others to get some of the best weapons. 3 rounds of beating PvE enemies, ways to get some tasty exotics. Can reroll some great guns. Pulse Rifle is decent, machine gun is in the top heavies to own. Also has a rare Shotgun that is the one to own (Threat Level - i still haven't got it yet)
Gambit Prime aswell as Gambit. This is so different to any PvP game i've ever played. Really mixes it up and if you love PvE makes you want to play it with the twist of screwing up someone elses game by going to the other teams realm and killing their team.
Linked to Reckoning when you play Prime. Another different PvE activity. Against a clock, quite challenging enemies, 3 tiers. Make your way through different sections that you need to be work well with your 4-man team. Lots of supers, lots of shit everywhere. Good fun. Also you do this to get themed gear sets for Gambit Prime so you get further boosts and perks in Gambit Prime. I have a whole set that looks like Master Chief in Halo.
Menagerie is one of the best 6 player activities they've created. Matchmade, can't really fail it unless you play Heroic. Guaranteed way to roll specific loot you want.
Also should be to do the tribute hall i imagine. Like a shooting range but also hunt for triumphs. Not sure if you can access it as its Year 2, but Bad Juju exotic pulse rifle is obtain through here.
Leviathan Raid. If you don't usually run raids it can be quite time consuming but fun when you nail a section. Massive space and needs a co-ordinated team. Not as good as D1 raids but still worthwhile completing for the challenge part
Nightfall Specific Loot
All Pinnacle Legendary weapons to chase through quests in
Crucible
Strikes (Vanguard)
Gambit
Oh, you can also roam every single destination, even if you can't do some of the quests, adventures, missions, etc that are there. I think thats pretty cool as you can experience the world doing public events and hopefully try one of the seasons if you fancy it.
So, yeah theres some stuff left to do on the map 😄