Found a goat with a running animation in a house. It was very slowly moving through the walls till it eventually moved outside. I continued with the running animation without actually moving. I killed it with an blow from an ax and it vanished. I could not find a body.
See attached screen grabs.

I just found a boar doing the same running on a spot in a forest. Killed the boar and it drops dead about a body length back. See attached screen grabs.

Also, the loot here is displaced so that it is floating outside or above the ground in the barn.

I too have this issue.
Whenever I go prone in game my character starts the going prone animation but then stands up and throws whatever I have in my hands.
This happens when I use the default "Z" button or my mouse button #5 that I have mapped for going prone.

I also have this problem every time I start DayZ. When I first spawn in game the image is blurry. I can fix this by opening the video options (I do not need to make any updates to the video options). I have added a screen grab showing before and after applying the fix.

Operating System: Windows 8.1 Pro with Media Center, 64-bit
DirectX version: 11.0
GPU processor: GeForce GTX 680
Driver version: 327.23
Direct3D API version: 11.1
Direct3D feature level: 11_0
CUDA Cores: 1536
Core clock: 1071 MHz
Memory data rate: 6008 MHz
Memory interface: 256-bit
Memory bandwidth: 192.26 GB/s
Total available graphics memory: 4096 MB
Dedicated video memory: 2048 MB GDDR5
System video memory: 0 MB
Shared system memory: 2048 MB
Video BIOS version: 80.04.09.00.E1
IRQ: 16
Bus: PCI Express x16 Gen2

See my note in ID 0004426

I had the castle at Rog sitting off the ground. When I used V to enter the main tower I ended up walking around with my body half in the floor of the tower. Also I was unable to move up the stairs.
Uploaded a screen grab.