This was an interesting leftover relic that the man who drew most of the Exiled created. Even though an official Exiled canon was never established, it's safe to assume that most of this isn't canonical.
The pic has in clockwise order from the bottom right: Jynx, DrBanxon, Ruxel, Zixan, Xalatine, Axit (the guy with wild hair), Darthex (the kid with a cross on his face), Myromex (the hooded guy in the back), Daxic and Zhymarx.
Clockwise from bottom left: Lexinoth, Selvix, Eisha and Stitch, Darthex, Xishn, Salix, Zaverxi and Ojex.
Each of these Exiled Order members made appearances in some of these worlds:
Jynx: TWTNW - Its only been a short time since Jynx was created, but Sora meets him as he attempts to destroy Organization XIII singlehandedly, taking anyone who dares interfere with them.
DrBanxon: Beast's Castle - Back when DrBanxon was complete, he stayed at the castle one stormy night, and in exchange, he had to unfairly give his most prized possesion, a powerful magic book. Now, he wants it back.
Ruxel: Olympus Coliseum - As Daxic's hated rival, Ruxel attempts to stop Daxic's pursuit of immortality, following him to the Underworld...
Zixan: Twilight Town - Zixan is conducting an investigation on Organization XIII, and the trail leads him to Saix in Twilight Town...
Xalatine: Hollow Bastion - Sora meets Xalatine as the Heartless invade Hollow Bastion. She attempts to test Sora, but for what reason remains to be seen...
Axit: TWTNW - Axit is the only Exiled Order member Sora never meets, Axit attempts to eliminate anyone who discovers and foils Darthex's plans. He fights a magnificent battle with Selvix, which ultimately leads to his demise, and the events in which Selvix would get his Heart back...
Darthex: TWTNW - Darthex's promise of bringing Hearts to all Nobodies has caused much turmoil and chaos in TWTNW. What he is really attempting to do is to obtain Kingdom Hearts to refashion the world as he sees fit.
Myromex: Timeless River and several other locations - Myromex is Darthex's most trusted subordinate and he is seen causing mayhem all over the worlds to buy them some time. He is the one who secretly creates Pete's door to Timeless River in an attempt to further Sora away from the truth. Among other anomalies he has created are the different warp holes throughout the worlds, there lie the absent silhouettes of past Organization Members, as well as future members of the Exiled Order.
Daxic: Olympus Coliseum - There is nothing Daxic fears most than Death, so he has sought immortality from the one person that could offer it, Hades. But in exchange for this, he must participate in the Hades Cup, as an assurance that Hercules will join the realm of the Dead...
Zhymarx: Hollow Bastion - Zhymarx makes his presence known during the Hollow Bastion invasion, where he helps to protect his home, and gives Sora and Selvix some very useful advice.
Lexinoth: Port Royal - Rumors of an old enemy of Lexinoth's appearing in Port Royal reaches him, and he travels there to investigate, but in a misunderstanding he is mistaken to be one of Barbossa and Pete's aces. He unwillingly does Battle with Sora.
Ojex: The Land of Dragons - As the keeper of the Heart of all Dragons, Ojex pursues Xigbar in Imperial China, as he attempts to stop him form turning all the four dragons of the Chinese rivers into Heartless. As a humorous addition, Ojex seems to be a good friend of Mushu, Mulan's guardian dragon.
Zaverxi: Halloween Town and several other locations - rumors of Larxene's revival has interested Zaverxi, and he travels the different world in search of clues as to why. It is later discovered to be a fake, as he does battle with her Absent Silhouette.
Xishn: Christmas Town - Xishn siezes Dr. Finkelstein's notes on the creation of "puppets with Hearts" and inadvertently does Battle with Sora, much to his liking.
Salix
Sabixel: Castle Oblivion - Sabixel awoke upon his creation to find himself being recruited by Marluxia to aid him in his revolt against Orginization XIII. Marluxia uses Sabixel as his last defense against Sora resulting in the two battling.