Connors coat appears to be two separate parts. The buckle front fitted duster component and a bolero/caplet type thing with half length sleeves that terminate in metal cuffs - compare episodes 2 and 5.
@ Tomfen - I can make one if you're not in a big rush (my plates pretty full right now so I couldn't start any custom work till late Jan/early Feb.)
I'm quite a fan of the fashions the protagonists have adopted in contrast to the more functionally clad civilians of Whitechapel. It's interesting that the characters have chosen to differentiate themselves in this way, but perhaps the styles are simply the result of the artist seeking to have them stand against the washed-out background of post-apocalyptic London. What were the garments inspired by, I wonder?