First of all, congrats on such a large tank! Your tank dimensions all you to fit the vast majority of fish available to the hobby.
Mmm....
I don’t know if anyone’s done it successfully, but 2 Yellow Tangs can be risky. I’d only stick to one.
I’ll have to say no to the Moorish Idol. Your tank is not big enough. Notoriously difficult to keep. Obligate coral and sponge eaters, their diet’s extremely hard to replicate in captivity and they are prone to disease. If you want a Moorish Idol look-alike, look into Black and White Heniochus (Heniochus acunimatus) or Schooling Bannerfish (Heniochus diphreutes). Your tank should be able to house a duo or maybe even a trio. Or if you want open water schooling fish, maybe a pair or trio of Genicanthus angels? -Spotbreast, Watanabei, Bellus. These get to 7”, Watanabei only 6”. Just be sure to secure healthy specimens that aren’t swimming erratically or swimming in a downwards motion because that means decompression issues. Spotbreast is OK but Watanabei and Bellus are deeper water species. Hear they’re not hard to keep once acclimated.
I’ll have to say no to parrotfish. They get huge and are obligate coral eaters like the Moorish Idol. Almost impossible to maintain in captivity.
Achilles Tang- OK, but another difficult and ich prone species.
Powder Blue Tang- Same genus as Achilles, a bit easier from what I’ve heard but still an ich magnet. Also not sure how two tangs of the same genus would get along.
Naso Tang- Probably not enough swimming space. These guys get up to 45cm max size, your tank lacks the horizontal swimming space. I would say 8-9’ required for these fish, 10+ foot even better.
If you want to mix Tangs, the best person to ask would probably be
@4FordFamily.
Raccoon Butterflyfish- You could probably do a pair (not sure though), but not sure if they’re reef safe. If you want reef safe get a pair of Pyramid Butterflies.
Triggerfish- Only one I’d consider for your tank would be Blue Throat Trigger. The rest can get very large and / or very aggressive. Humu Picasso could also be fine, but not sure. They get to 10”. IMO they are better for fish only predator tanks.
Hawaiian Christmas Wrasse: Good.
If I were you I’d do (feel free to critique):
x2 Ocellaris or Darwin Ocellaris (Black and White) Clownfish- do not get wild caught. It’s so easy to find tank bred ones these days. No reason to get wild caught because those are a lot more prone to disease and have generally poor survival rates. The reputation of Clowns as a hardy, borderline bulletproof fish comes from the fact they’re easily bred and raised in captivity. Do not get wild caught. Do not. Do not. You’ll be saving yourself from a lot of heartache.
x1 Hawaiian Christmas Wrasse
x1 Yellow Tang
x1 Powder Blue / Achilles Tang
x1 species of Bristletooth Tang (Tomini, Yellow Eye Kole, Squaretail Bristletooth, Spotted Bristletooth, White Tail Bristletooth)
x2 Watanabei / Bellus / Spotbreast Angels
x2 Pyramid Butterflies or Bannerfish
x1 Marine Betta
You could also swap out one of the tangs for a Foxface, I would go with One-Spot as they get to 8”. The rest are larger.
And then your tank could fit in any of the smaller fish like basslets, Cardinalfish, wrasses etc. Basslets plenty to choose from: Royal Gramma, Blackcap Basslet, Swissguard Basslet, Swales Basslet, one of the Assessors. Many options. Cardinalfish don’t get Bangaiis IMO they kill each other off. Pajama and some of the other species may be more peaceful when kept in a group. Wrasses your tank can fit any Fairy or Flasher Wrasse (you can keep them together), Halichoeres (sand burrowing wrasse), Hogfish, many to choose from.
Be sure to have sand bed for Hawaiian Christmas Wrasse. It belongs to genus Halichoeres and they are a sand burrowing wrasse. I would give it 3” sand bed.
Do you want a bottom dweller? Do you want to keep inverts? If yes, all the gobies and Blennies would work. I would say don’t get the very small Neon Gobies because they are too easily lost in a big tank like yours. The others, especially Yellow Watchman and same genus gobies, do well and they can be paired with a Pistol Shrimp for the symbiotic relationship. Blennies and gobies can get along. If you don’t to keep inverts or a goby / blenny, you can consider an easy species like a Hawkfish. Flame, Longnose, Falco, Spotted and Coral Hawkfish remain small. Among them Flame and Longnose are the least aggressive and two juveniles 5cm and below can be paired.
If you want schooling fish, I would not suggest Chromis or Anthias. Chromis kill each other off, many species of Anthias do the same. Both are very prone to uronema, tank bomb. If your tank gets it it’s GG to pretty much everything with the possible exception of the Marine Betta should you get one.
Also you should cover your tank. Open tank=higher risk of jumpers.