When a chest is open in front of an item frame, the frame glitches through the top of the chest.
A map in an Item Frame glitches through the lid of the chest aswell as the Frame itself.
Related issues
is duplicated by
Attachments
Comments

Noticed this while investigation the chest staying open issue (https://mojang.atlassian.net/browse/MC-1638).
still in 1.4.7
Confirmed for 14w20a and b.
I can see what happens and confirm it. What would be your preferred behaviour? The problem exists because the item frame is a transparent block and chest lids open into those. If you put a chest under a glass block the lid clips through as it opens, very similarly to this, as pointed out by Kumasasa. Would you prefer the item frame to get partially masked out of existence while the chest is open? Would you expect the same changes to be extended to chest-lid interaction with other transparent blocks? Should an open lid preclude third party (another player) interaction with the item frame, or for that matter any transparent block with a hitbox?
The clearer you are about your expectations the better the mods are able to manage them and Mojang to respond to them.
Still in 1.8
Affects 15w49b
Also affects paintings.

Relates to MC-136695