The cigar chomping leader of the A-Team was forever "on the jazz" (meaning he loved the adrenaline of action). He just loved to play it tough and cocky to the biggest bad guy. Named after the Carthaginian general who almost destroyed the Roman Empire 2200 years ago. Like his namesake, Hannibal is a master tactician, but his plans never quite turned out as they were supposed to. According to Amy Allen, "Hannibal's plans never work like they're supposed to, they just work".
Hannibal was also famed for his "mastery" of disguise - usually involving a wig and a pair of false teeth, that any person with some semblance of vision could have seen through. Nethertheless he was man the Team revolved around and after every successful victory he would utter his infamous catchphrase, "I just love it when a plan comes together!".

The craziest member of the A-Team resided in a military mental hospital for most of his time and it wasn't hard to see why. Running through different personalities like a hot knife through butter, and talking randomly to objects and things that did not exist. B.A. had a particular problem with this "crazy fool".
However, despite his umm.. inconsistencies, Murdock was a top class pilot. He'd fly anything and fly it well - if a crash was iminent he was the man to get the 'plane down safely. Despite his mental state (and was he really crazy?), he was an irreplacable member of the Team.

Face was the A-Team's conman, often managing to cheat people out of everything they owned and still leave them smiling. Whatever was needed, be it a lawnmower engine (in the jungle) or an American Air Force Jet (in Peru) he could obtain it. And if the hapless victim was female it was all the easier for Face (nicknamed on account of his clean-cut good looks). However, Face was never one for the inevitable fighting that being an A-Team member entailed, and he was forever complaining about getting hit too often.
Face was effectively second in command to Hannibal in the A-Team (Murdock technically had a higher rank, but he was certified insane!), but he devoted much more time to the women and seemed to get one during every mission - simply by smiling at them.

Nicknamed "B.A." on acount of his 'bad attitude' (he used to enjoy beating up senior officers whilst in Vietnam), B.A. is possibly one of the nicest guys there is, devoting his little free time to helping poor children. B.A. is the team's mechanic and has a truly amazing talent for making impressive machinery e.g. a tank from a standard pipe and the odd matchstick! And he managed to achieve this despite the weight of jewellery on his hands and around his neck - an amount that would have caused any mortal man to just keel over.
Still, B.A. did have his one weakness - flying. He, on no accounts, would get on a 'plane while conscious ("I die before I fly"), so it fell to the rest of the team to knock him out first (a swift tap on the back of the head with a wrench or an injection would usually do it). However, even though he wouldn't fly, he was the A-Teams driver and dedicated a lot of time to the van. B.A. also never got along too well with Murdock who he would often call "a crazy fool" before trying to throttle him.

Tawnia Baker was a friend of Amy Allen at the Los Angeles Courier and basically took over her role in the A-Team (although she was never really a real member of the team like Amy) when she left to become foreign correspondent. Tawnia first appeared in the episode "The Battle for Bel-Air". Tawnia was not associated with the A-Team for long before she left to get married. This was a relief for many fans who disliked her and felt that Melinda Culea was far more suited to the role.

Frankie became the fifth member of the team during season 5 at the request of General Stockwell. Santana was a special effects expert before he was caught up in the A-Team, but had to stay with the team after he was also outlawed.

Colonel Lynch was first seen pursuing the A-Team in the pilot episode 'Mexican Slayride'. Even from this episode it was obvious he was always going to be given the run around. Within 20 minutes hehad his car submerged in water and had lost the A-Team and although he managed to capture them in the episode "One More Time", he was quickly usurped by the higher command.
Lynch was the commander of Fort Bragg the maximum-security prison) when the A-Team first escaped in 1972 and has pursued them ever since. His last appearence was in the episode "Showdown".

General Decker Fulbright pursued the team during season 4, and (until his final episode) disliked them very much. In his final episode ("The Sound of Thunder") he had a sudden change of heart, and pronounced the A-Team to be not guilty of robbing The National Bank of Hanoi. He then enlisted the teams help to track down his (until then unknown about) daughter in Vietnam. Unfortunately, at the end of this mission Fulbright was killed.

General Stockwell appeared during season 5. In The Court Martial series of episodes The A-Team were captured by the US Army and faced a court martial followed by death. It was Stockwell who aided their escape from the firing squad, although he may have initiated the capture in the first place. He then made The A-Team work for him in a fixed number of operations before they would receive a full pardon.
Stockwell was a rather shady character to say the least. It was unclear which of America's governmental branches he worked for.