Aislinn

Angelic Possession - Similar to demons, angels require a vessel while on Earth. However, they must have the vessel's permission before they can take control. Gadreel states that even once they are possessed, the vessel can expel the angel at any time but this presumably does not apply for all angels.
Astral Projection - Angels can project shadowy forms of their wings onto surfaces at will. If one is killed by an Angel Blade, its wings are burned onto the surface on which they died.
Chronokinesis - Angels can travel through time, in either direction. They can also take others with them, and just send others without going themselves. However, this is a very difficult ability to master with or without Heaven's assistance. More powerful angels such as Seraphs or Archangels are able to manipulate time easier, even when cut off from Heaven, though it is still not an easy task.
Dream Walking - Angels can appear in people's dreams, they usually use this to communicate, when they can't find the person they're looking for, or want to talk privately. Lucifer was able to talk to his future vessels in their dreams.
Eidetic Memory - Angels have the names of every prophet who has existed or will exist etched into their memories. This ability also makes them aware of reality warping and timeline changes.
Electronic Manipulation - Angels can manipulate electrical appliances. Castiel caused a dozen car alarms to stop by raising his hand.
Immortality - Angels don't age and cannot be killed by diseases or Earthly weapons.
Invulnerability - To date, the only things capable of killing angels are Angel Blades, Holy Fire, a stronger angel, Death, God, and Leviathans. Archangels have even fewer weaknesses, as Michael wasn't killed by the  Holy Fire, and they can only be killed by Archangel Blades, though it's unknown if they can be killed by Angel Blades. It has been stated that Death's Scythe can kill angels.
Regeneration - If an angel's vessel is damaged, it will repair itself nearly instantly unless the wound was caused by angelic weaponry .
Sedation - Angels are able to render humans unconscious with a touch.
Smiting - Perhaps an angel's most versatile and terrifying weapon, smiting (sometimes known as the Killing Touch) allows the angel to kill any demon, monster and even humans with a touch. Smiting is often exhibited when angels place their hands or palms on their adversaries' face, forehead, or mouth.
Super Stamina - Angels never tire, and they do not require food, water, oxygen, or sleep to sustain themselves.
Super Strength - Once possessing a vessel, angels use their power to dramatically increase the physical strength threshold of their hosts. All angels are much superior to humans and animals in strength, however, their strength varies from angel to angel, depending on their position within the celestial hierarchy; lesser angels (cherubs, rit zien, and common angels) are just stronger than lesser monsters as well as average black-eyed demons, able to press at least 2 tons (4,000 lbs), while seraphs, mid-level angels, are considerably stronger, able to overpower stronger monsters, mid-level demons, and virtually all lesser angels. Finally, archangels are the strongest of all angels and are counted among the most physically powerful beings in existence, able to overpower all lesser and mid-level angels, top-level monsters, top-level demons, and even top-level pagan deities.
Super Senses - All angels enhance their vessels senses to superhuman level. Angels possess an acute sense of smell. Their sense of smell is heightened to the point where they can identify people by smelling their body, bone or by their blood. Angels can also identify people by sniffing their genes and hormones as well.  Because angels operate on a different plane of existence, they can see atoms and ions which are impossible for humans to see. Angels can hear a humans conversations miles away from them, and they are somehow able to locate any human on the planet and find them, but they can't locate people if they are protected by an Enochian charm or symbol. They also have an amazing sense of taste and are able to taste every molecule in a piece of food.
Supernatural Perception - Angels are able to see almost all supernatural activity around them. Castiel could even see Reapers, which remain invisible except to those they are seeking. They can also sense any location, being, or object not protected by Enochian Symbols. This perception also extends to electromagnetic waves, and can decipher radio modulation signals, as angels are "multidimensional waves" in their true form and can thus perceive such energies.
Telekinesis - Angels are able to telekinetically move beings and objects with their mind. They are able to use this power in a more aggressive manner like demons, but are often not depicted as doing so.
Telepathy - Angels can read the minds of other angels with ease, higher angels such as Seraphs and Archangels can also read humans minds.
Teleportation - Angels are able to travel from one place to another, instantly, without occupying the space in between. They can also summon or send other beings.
Temporal Awareness - Angels are capable of becoming aware whenever any alteration occur within the time-stream, allowing them to discern alternate timelines and the like. With this, Angels like Castiel and a younger Uriel have identified other time-travellers in this manner.
Voice Mimicry - Angels can perfectly mimic the voice of mortals.
Protective Charm - An angel can protect an individual (commonly their future vessels) from most forms of physical damage. This degree of protection is linked to an angel's power. Castiel was able to prevent his vessel Jimmy Novak from burning his hand on a pot of boiling water as a sign of faith. Raphael was capable of making Crowley immune to Castiel's angelic killing touch.
Flight - All angels are able to fly, though it's only been shown when not in a vessel. It may be linked to their teleportation due to the sound of wings flapping when they teleport.
Pyrokinesis - Castiel displays the ability to burn through ropes holding him, even before he becomes a Seraph.
Enhanced Chronokinesis - Angels have the ability to bend time is easier if the angel is connected to Heaven.
Healing - Angels can cause the wounds, diseases, and toxins of another being to heal instantaneously.
Smiting - Angels are able to destroy low to mid-level demons with a simple touch, however the demon has to be in a host body, as this doesn't work on their smoke form. However, they can grip a demon's smoke form and force it back into a host body to smite the demon. They can also use it to kill monsters and humans. Seraphim and Archangels can kill any demon, monster, or supernatural creature with this power, since they are immeasurably more powerful than the listed entities.
Resurrection - Angels can bring the dead back to life. However, they must know where all the pieces of the original body are, and they must have the soul of the subject. (The only known exception was when Castiel went to Lucifer's cage and only was able to raise Sam's body. His soul remained in the cage for over a year after). Castiel mentions that angels had to lay siege to Hell in order to retrieve Dean. However, if the soul is in Heaven, they apparently don't need to physically retrieve it as Castiel was able to resurrect Bobby Singer without retrieving his soul and Gadreel was able to do the same with Charlie Bradbury.
Biokinesis - Higher level angels, such as Seraphim, like Zachariah, are able to manipulate the biology of other beings. Zachariah, for example, was able to make Dean hemorrhage while torturing him into saying yes to Michael.
Advanced Vessel Locking - Powerful angels can hold a demon in smoke form as if it was tangible and force the demon to return to its vessel. This was demonstrated by Castiel on Ellsworth.
Memory Manipulation - Powerful angels are able to erase, restore, alter, and fabricate memories in the minds of humans.
Advanced Pyrokinesis - Powerful angels can generate and manipulate fire. Michael was proficient enough to kill another angel, Anna, by setting her ablaze from within. Interestingly, this didn't simply destroy the vessel, it also killed the angel, suggesting the fire had a supernatural element to it.
Soul Reading - Angels are able to read the souls of humans, however it is a painful experience for the human. They can also use the soul as a source of energy, but the pain is even greater for the human, and there is the risk of an explosion if the angel is not careful.
Reality Warping - Powerful angels can bend reality to their will. The most notable example is Gabriel, who lived on Earth as masquerading as a Trickster named Loki. Other angels, also possess this ability but on a smaller scale. Examples include breaking and repair objects by pointing, removing a persons lungs with no incisions or assembling a board game by shaking the box. Even angels cut off from Heaven have this ability as Castiel was able to carve the enochian sigil into Sam and Dean's chest simply by touching them.
Power Removal - Powerful angels such as Seraphs are capable of removing psychic powers from human beings. However, the process is very painful and can leave the person mentally-damaged.
Holy White Light - High ranking angels can unleash a concentrated blast of pure light energy from their palms and control its destructiveness, ranging from incinerating a room full of monsters to obliterating entire buildings. Castiel demonstrated the sheer lethality and power of this ability by killing an entire room of Jefferson Starships with one blast. Regular angels may also have this ability, as Metatron has been shown to use it.
Invisibility - Archangels, Seraphs and some Angels can become invisible to humans.