A short and basic rundown would be like…
Commonly [and not so common] used AAA’s discussed here: Cammy, Ken, Cyclops, Psylocke, Captain Commando, Tron, Doom.
Ken’s AAA is completely invicible while he’s on fire
Beats: Everyone
Trades with: No one
Loses to: No one
Cammy’s AAA is the same as Ken, except she bounces off of things, i.e. Sentinel drones and Doom rocks.
Beats: Everyone [I think]
Trades with: No one
Loses to: No one
Cyclops’ AAA beats everyone below him in this list
Beats: Psylocke, Commando, Tron, Doom
Trades with: Cyclops
Loses to: Ken, Cammy
Psylocke beats everyone below her, EXCEPT commando, in which either she gets hit or they both miss each other
Beats: Tron, Doom
Trades with: Commando
Loses to: Ken, Cammy, Cyclops
Commando can beat others if he’s called early enough, but it’s tricky - loses to tron and Doom BAD if you call at the same time
Beats: Not completely sure
Trades with: Cyclops, Psylocke
Loses to Ken, Cammy, Tron, Doom
Tron loses out to a lot of AAA’s - almost all of them, except rapes Commando pretty well
Beats: Commando
Trades with: Psylocke [this is situational, if Tron already has her rings out, Psylocke will knock her down but take damage in the process. Otherwise Psylocke will beat her clean]
Loses to: Ken, Cammy, Cyclops, Doom [Situational, but less so]
Doom Takes forever to come out if the opponent is more than a a character away, but the rocks cover well
Beats: Commando, Tron
Trades with: Cammy [bounces off the rocks most of the time]
Loses to: Ken, Cyclops, Psylocke
There’s a basic list, from my experiences. Feel free to correct if I fucked up somewhere.