Entities (skeletons, chickens etc) fall thru the block they are walking to after walking off blocks less then 1/2 in height but greater then 1/8th thick snow block. Could not check anything between the size of 1 layer of snow to half half a block did not feel like server hacking the thickness.
[Repo]
Fence in an non snowy area.
Place a repeater or sink a fence post in the ground.
Spawn some entities.
E's should fall after walking over the repeater or a sunken fencepost.
E's should not be falling thru the blocks in this case. Further testing would be placing a double layer of snow and a triple layer of snow testing out the heights between 1/8 and 1/2 of a block in height.
Further testing showed sticking a fence in the ground and walking over it does cause this also. Having just a single layer of snow next to the fence or repeater also stops this effectively.
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also here is where I noticed that the single layer of snow (1/8th thick) definitely stops them from falling thru.

I've experienced the same happening to myself at a redstone repeater array built on a 1-block roof, causing me to drop to the room below on more than one occasion. (Which was quite troublesome since that happened to be the obsidian blast-resistant killing zone of a mob farm...)

Duplicate of MC-119.