The first thing that jumps out at me is the yellow belly regal angel with an emperor angel. I break lots of rules for angels but I cannot see that working out. There's always a possibility, but regal angels are often bullied by fish half their size. Emperor are one of the more pushy and aggressive angelfish. I would say choose one or the other.
Keeping flame with coral beauty is possible but may be troublesome. Add at the same time and be sure you can catch and remove one of it goes bad. I've not successfully kept the two. I've kept multiple flame, mixed with potters and other centropyge but that mix often doesn't work out.
Also you have some other aggressors on there such as powder blue tangs. The pearlscale butterfly in particular is quite shy and peaceful. Emperor Angels and PBT are often somewhat aggressive. PBT tend not to like butterflies in my experience. You'll want to add him (PBT) last if you're set on doing this. The emperor may not tolerate the butterflies at all, depends on temperament.
People sometimes try juvenile emperor and claim they're was aggressive. While this has been my experience to some degree, they're still more aggressive than other angels. As they mature, especially when they change to adult coloration, it seems like overnight they decide to be aggressive and have "something to prove". In my experience, juvenile emperor angels that have transitioned to adults are actually more aggressive than emperor angels that are purchased as adults. I don't know why, but this is what I have seen, read, experienced myself, and heard from others that have kept them.
I keep so many angels together and mix with fish they shouldn't be with because I have such high numbers of Angels to spread the aggression. I'm also willing to split them up if need be. The most questionable was my addition of a moorish idol in my angel tank. He has done remarkably well but that's because the angels are busy dominating each other and largely leave him alone.
That stock list MAY work but there is a lot of room for disaster.
If you want the centropyge mix to work, I would get at least one more centropyge angel in with them. Still may have trouble with coral beauty and flame in my experience and I've tried many times.
The regal and emperor I don't see working unless you have several large Angels to keep the emperor preoccupied and with the fragile nature of the regal angel, I don't know that it would survive and eat in a stressful environment like that even with many angels. My first Red Sea regal angel didn't eat at all while my first Achilles tang was with him. He never bullied the angel but bullied other fish which stressed him out immensely. Very, very difficult and fragile fish.
Thank you for your feedback and I get what you are saying. My wife loves the Emperor Angelfish, wants me to get a young one as she like all the changing it does.
Based on that I think you are right and I should remove the Regal Angelfish. Now what are your thoughts on a Blue Girdled Angelfish (Pomacanthus navarchus)?
The main goal is to get colorful fish and as many fish as possible. I have been running a reef tank for about a year now but just don't have the time to continue it so going fish only.
My stocking plan was keep some of the smaller fish I already have and only add young fish over time:
1 - Diamond Watchman Goby (Valenciennea puellaris) - Already Have
1 - Yellow Wrasse (Halichoeres chrysus) - Already Have
2 - Firefish (Nemateleotris magnifica) - Already Have
2 - Purple Firefish (Nemateleotris decora) - Already Have
3 - Blue Damselfish (Chrysiptera cyanea) - Already Have
and the first batch of new fish would be the more peaceful fish so they can get comfy:
1 - Pakistan Butterflyfish (Chaetodon collare)
1 - Pearlscale Butterflyfish (Chaetodon xanthurus)
1 - Blue Spotted Puffer (Canthigaster solandri)
1 - Bicolor Blenny (Ecsenius bicolor)
Second batch would be, (again all on the smaller size):
1 - Emperor Angelfish (Pomacanthus imperator)
1 - Blue Girdled Angelfish (Pomacanthus navarchus)
1 - Coral Beauty Angelfish (Centropyge bispinosa)
1 - Flame Angelfish (Centropyge loricula)
And the last batch being the more bully of the fish:
1 - Powder Blue Tang (Acanthurus leucosternon) - Maybe switch out for a blue tang
1 - Yellow Tang (Zebrasoma flavescens)
1 - Pinkface Wrasse (Thalassoma quinquevittatum)
Think this will work or still asking for trouble?