Egg Substitutions

[IndyRob]

Of course we all want to complain about the price of eggs, but how can we fight back short of creating our own personal armies of domestic hens?

 

The idea of egg substitutions is hardly new, but which have been vetted?  It seems like this community should be well suited to aid the cause.

 

How do the vegans do it?  Which substitutions actually work, and for what applications?  Are there any substitutions that actually improve on the original?

[IndyRob]

For instance, one thing I just ran across for the first time is lactonesa.  A milk mayonnaise?  The version I first saw in an Italian sandwich video had garlic.