Originally Posted by petjunkie
...anglers are best on their own as they can and will eat fish as long as themselves and many aggressive fish will pick at them until they die, your grouper will also eat anything it can and can be very aggressive and lunare wrasses have a tendency to be vicious killers. So no those fish are not really suitable together.
Actually these fish, assuming that the sizes are appropriate with one another, should be fine together. The angler may be a gamble but these fish can each hold there own against one another.
I would have a concern, though, about buying 3 potentially large, aggressive fish at the same time to put in a small tank. Most people tend to try to spread their fish purchases out over at least a couple weeks. Personally, I would not buy more than one fish per month. Make sure the tank's biological filtration can keep up.