The technical color of this coat is Faded Black, though it does look slightly green or blue in different lighting. It is exceedingly expensive even if you can find one because of the brand name. Luckily the style isn't that unique, though the details are, so you can usually get away with a cheap alt.
Worn in: The Bells of St. John (outfit #1), Hide
F&F Red Duffle Coat
This was another very late ID, further proof that we can still ID her season 7 jewelry!
Worn in: The Rings of Akhaten (funeral scene)
All Saints Axelle Denim Jacket
This is rare, but it does come up every once in a while. A word on the fit: it is a bit small, especially in the shoulders. A size up from what you would normally wear is best, and do not get anything smaller than normal.
Worn in: The Rings of Akhaten, Nightmare in Silver, Doctor Who Proms Minisode
Topshop Leather Stud Biker Jacket
Only one piece worn by Clara's time/space clones has been ID'd. I think it's pretty cool.
Worn in: The Name of the Doctor
Belstaff Black Roadmaster Jacket
This jacket is ridiculously expensive just because of the brand, but there are also many tiny details that differ between different styles of the same coat. This one has a black collar lining, a tiny British flag at the pocket, and is made from waxed cotton. However, the brand has many copycats, so alts for the coat are easy to find. You just need to pay attention to the length. I bought an alt that I wear around and love, but when I tried it on with the dress I realized that it is so long it only shows a few inches of the skirt. Oh well. Really, as expensive as this is, she had better wear it again.
Worn in: The Day of the Doctor
River Island Leather Look Double Zip Biker Jacket with Detachable Fur Collar
It is worn without the fur collar in the episode.
Worn in: Into the Dalek (outfit #1)
ASOS Reclaimed Vintage Check Coat
Worn in: Into the Dalek (outfit #2)
The Kooples Parka with Biker Collar
Originally sold very expensively at the Kooples and Nordstrom. I don't know how many people bit the bullet and bought one, so only time will tell how rare it will be. Original link here: http://www.thekooples.co.uk/woman/coat/parka-with-biker-collar.html