If you look at damaged anvil and anvil in inventory, you can't see the damage on the symbol of damaged anvil
Screenshot: http://i.imgur.com/cVLYo.png
Linked issues
is duplicated by
relates to
Comments
Clarified title.
You know what's curious? Anvils can render damage state, but only when spawned with commands. For example, "/give <name> 145 1 4" appears as a slightly damaged anvil, and "/give <name> 145 1 8" appears very damaged. It seems the game's offsetting the render type by the higher order pair of bits, instead of the lower order pair of bits, and hence using the wrong render.
Oh yeah, and confirmed for 13w09c.

Confirmed for 1.5.1. Falling damaged anvils and damaged anvil items use the wrong texture!

Damaged Anvils still use the wrong item texture in 13w16a !

Confirmed for 1.5.2 and 13w17a !

Confirmed for 13w18a! (EDIT: and 13w18b+c !)

Confirmed for 13w19a !

@Nlnlnonm:
Why are you adding MCPE screenshots here ?
?
Confirmed. Even in creative inventory as per screenshot the anvils are the same and only hovering over them shows the different names.