The egg show is a feature at almost every British (and some other countries) poultry show. They can be judged on either the external (shell) or the internal (the yolk and white). There are also classes for decorated eggs.
The shell should be uniform in colour. It should also be smooth, free from wrinkles and calcium spots (the little bits of shell that can poke up, making the shell feel rough). If there is more than one egg, then the eggs should be uniform in size and colour. All eggs should be the appropriate colour for the breed, e.g. white for Leghorns, brown for Rhode Island Red. If the eggs are meant to be mottled or speckled, then it is preferred that these are even too. The shell must be clean and stain free. You can wash the shell, but polishing or adding extra colour to the egg would result in you being reported to the PCGB.
Other things that will get you disqualified (but not reported) are double-yolked eggs, staleness, bantam eggs over 42.5g (1.5oz), a developing embryo and excessive blood or meat spots.
When judging contents, the yolk should be golden yellow, with no blood or meat spots. there should be no sign of embryo development (to prevent this, make sure that the egggs are collected twice daily). The yolk should be one uniform shade.
The white (albumen) should be clear, and the albumen should be thicker around the yolk, and thinner around the edge, with the two areas distinct. In the albumen, there are two thick cords of albumen, called chalaze. These are opposite each other and are what holds the yolk in place.
The airspace is the gap inbetween the cell membrane and the shell. It can be found at the blunt end of the egg. This is how the chick breathes during the latter stages of development. It should be small, to indicate freshness, about 1.5 cm for large fowl and 1 cm for bantam eggs. All eggs should be fresh, demonstrated by a small, taught airspace and a plump yolk and albumen.
Faults - more to come, pictures appreciated, especially of the following- Biconical
- Elliptical
- Oval
- Spherical
- Conical
Wrinkled Shell
Often seen coming from older birds.

No Shell
This is an egg that has no shell, just the membrane. It can be caused by several different things, such as a lack of calcium in the diet, although this should not be a problem if they are on a commercial style layers ration with not too many treats, or it can be caused by shock. They are usually just a one off, in which case the problem can be put down to shock. If, however, it is a persistent problem, then diet is a more likely cause.

A shell-less egg laid by one of my hens. I have never had one since.