Minecraft 1.4.5, Snapshot 12w50a, Minecraft 1.4.6, Minecraft 1.4.7, Snapshot 13w01a, Snapshot 13w01b, Minecraft 1.5, Minecraft 1.5.2, Minecraft 1.6.1, Minecraft 1.6.2, Minecraft 1.6.4, Minecraft 13w36b, Minecraft 13w37a, Minecraft 13w38a, Minecraft 13w38b, Minecraft 13w38c, Minecraft 1.7.1, Minecraft 1.7.2, Minecraft 1.7.4, Minecraft 1.7.5, Minecraft 14w10c, Minecraft 14w11b, Minecraft 1.7.9, Minecraft 14w18a, Minecraft 1.7.10, Minecraft 14w30c, Minecraft 15w36d
Mac OS X
As of 13w39b, glitches begin exactly outside these boundaries:
Anything inside renders correctly.
Redstone is giant when you place it far from the center of the map.
Particle Effects are shown farther away from their source, as shown with the torches, the furnace, and the fire.
EDIT- If you go father away, Redstone eventually becomes invisible when you place it. At that point, placing it next to itself to make it go in a line, the line itself is 2x2 blocks instead of 1 block.
EDIT 2- If you go 10000000 blocks in one direction from the center and place redstone, it will be giant, but connecting it to a Redstone torch makes it small again.
Placing a minecart places it behind the rail, as shown in the picture.
This is semi-related to the Jumping Item Frames bug, but with everything else.
EDIT 3- Anvils sometimes break instead of falling.