Minecraft 14w30c, Minecraft 14w31a, Minecraft 14w33a, Minecraft 1.8-pre3, Minecraft 15w40b, Minecraft 15w45a, Minecraft 15w46a
Win 8.1 x64
Java Version 7 Update 55 (1.7.0_55-b14)
The texture on the underside of the top-horizontal support for the banner is two pixels offset to the left when looking at the rear of the banner.
As shown in the attached screenshot (taken in 14w31a), the rope binding is two pixels to the left, so the fix would be to translate the texture map 2 units in the opposite direction.