This is a difficult question to answer. There are many factors that can have an impact on the compatibility of these fish, any fish for that matter. Including the individual personality of the fish in question. One of the most important factors is the size of the tank. You can get away with alot more as the footprint of the tank increases.
Is this a general question or are you trying to plan something?
In my experience
ATF's: Generally safe but there are exceptions. They don't usually get on with each other unless there is a decent number of them, I had two in an 8' and had to remove one because of constant aggression. This tiger also destroyed two Tats. It is now fine with two large Brycons. GATF are similar but because of their eventual size do require a much larger environment.
Payara: Scomb are easy to keep with other fish but are relatively delicate. Tats are a really good option I have two in a 5'x2' with a number of fish including a shoal of SD's, They can be aggressive to each other if there is a low number of them but doesn't come to much other than occasional chasing. I have not kept armatus so can't really comment on them but they are known to be more aggressive than Tats.
Wolf fish: The Erythrynus group, Rainbow, Red wolves are pretty safe with anything too large to eat, they will however not tolerate their own kind. It probably would work in a very large tank. Hoplerythrynus, Gold wolves are fairly social and actually shoal and hunt as a pack in the wild. The Hoplias group are different however. As with most of these setups there will be exceptions. The Mala group is a difficult one, this is one of those personality things. Some seem to be ok with others some dont tolerate other fish. This is probably down the fact that there may be a number of species under the Mala name. The Lacardae group, lacerdae, curupira etc. seem to be more stable and usually tolerate fish too big to eat. There are plenty of examples of these fish being kept with others. Aimara are in most cases a no no with other fish. There is a video of a large example being kept with some Exos, I have no idea how this has worked out. I have had mine attack anything in the tank including rocks and myself.
This is my community, ATF, Hoplias curupira an some others.
http://www.youtube.com/watch?v=saifaP2HmG8