Angel's powers and abilities
Enhanced vampire abilities
Angel had the standard powers and vulnerabilities of a vampire; he was immortal, regenerated damage, possessed superhuman physical attributes, and had heightened senses, able to track people by scent alone. He was also vulnerable to holy items and sunlight, could be killed by decapitation and a stake to the heart, needed to regularly ingest mammal blood to maintain his vitality, and could not enter the residence of a living human without being invited by a resident. Due to his advanced age, however, he was considerably more powerful than an average vampire; for example, he was able to run at such speeds that he appeared to teleport several meters, and withstand prolonged exposure to sunlight and holy items to no ill effect. He also possessed a high pain tolerance, able to withstand prolonged periods of torture without succumbing.
Psychic abilities
Angel also possessed some cognitive abilities; he had a photographic memory and displayed a psychic connection to those he had sired on at least one occasion. While running Wolfram & Hart, he was given Cordelia's visions on her last day on Earth; however, he believed that this was a "one-shot deal," suggesting that this ability was not permanent.
Demonology and Occult aptitude
Because of his age, Angel had immense knowledge of both demonology and history (on occasion rivaling that of Giles and Wesley).
Sorcery
Angel also had some experience in magic, able to perform spells, exorcisms, and glamours, although he preferred to rely on others' expertise if the option was available rather than doing them himself.
Psychological manipulation
As Angelus, he displayed considerable skill in manipulating others' emotional states, using psychological tactics to attack both the Scooby Gang and Angel Investigations both times when Angel lost his soul, though the most notable example was his driving Drusilla insane. He was also an expert in torture as both Angel and Angelus.
Abilities
Advanced combat
He was a highly skilled combatant and generally fought unarmed, using circular attacks such as spinning kicks and back hands. In addition to his proficiency in many forms of martial arts, he mastered many varieties of weapons, favoring broadswords and sometimes axes. He is even more dangerous when Angelus takes over, since his soul-less self often fights with no remorse. During his lifetime, Angel successfully stood up to and defeated a wide variety of powerful and skilled opponents, including Buffy Summers, Faith Lehane, Marcus Hamilton and Connor, amongst others. Additionally, Angel beat Spike on numerous occasions, only losing to his protege once, when he was discouraged and suffering self doubt, in their century plus association. Following Darla being sired by Drusilla, a cold, ruthless and driven Angel was shown to have single-handedly defeated around twenty vampires and demons in one fight. Angel even survived a hand-to-hand fight with the ancient vampire Kakistos on one occasion despite living in seclusion for over a decade by the time of their fight. Angel was also able to physically dominate The Beast, forcing the demon to its knees before finally succumbing to The Beast's strength. Even when human, Angel was able to defeat opponents far stronger than him, including briefly getting the better of Spike, before Illyria stepped in, and defeating Charles Gunn who was, at the time, a vampire.
Leadership and tactical skills
Additionally, Angel was highly intelligent, possessed strong leadership skills, and had a natural flair for strategies and tactical planning; although he initially followed Buffy's lead when working with the Scooby Gang, this could have been based around his own social uncertainty after decades of isolation and/or his attempt to help her grow as a Slayer, demonstrating greater skills and confidence when he moved to Los Angeles to set out on his own. Angel also appeared to be a master of intimidation; when Connor broke free of his restraints and beat down Gunn and Fred, Angel, despite his weakened condition after three months trapped at the bottom of the ocean and only a limited amount of recently-ingested blood to restore himself, quickly stood up to Connor and ordered him to sit down, which he did after only a slight hesitation.
Art and writting skills
He had "very nice handwriting" and was a gifted artist, using charcoal crayon and China ink to draw portraits.
Motorist skills
Angel could drive and had a good eye for cars, owning a black 1967 Plymouth GTX and a Dodge Viper, along with an entire garage full of other cars as W&H CEO.
Multilinqualism
Angel could speak several languages, including English, Korean, Tibetan, Greek, Latin, Italian, Spanish, French, Belarusian, Romanian, and German, and attempted to learn the language of the Vinji and Sahrvin demons via an instruction tape.
Other abilities
Angel was competent, but uncomfortable, with modern technology; he frequently struggled to understand cellphones (once claiming that they must have been invented by a "bored warlock") and confused computer terminology such as "chatty rooms". He also knew how to change diapers, but claimed to be more familiar with pins than the "new-fangled fasteners" of disposable brands[175]. He was also a convincing improvisational actor, deceiving Faith and Mayor Richard Wilkins as well as later the Circle of the Black Thorn and his own allies into believing that he had either reverted to Angelus or gone corrupt. Additionally, according to Cordelia, Angel possessed remarkable cooking skills "for someone who's on a liquid diet.