They don't unfortunately. However, if you stumble upon a shiny legendary egg, a shiny legendary will hatch from it! The egg looks like this. Spoiler
All shinies have a 1/4000 chance. Since Legendary eggs can appear all over the forum you may have a greater chance of finding a shiny one, but any shiny is truly exceptional to find!
Just 4 eggs 'cause I want only one legendary of each type. Also 'cause I can't get each egg to level 40 if I have too many. ^^
I have too many. I caught a bunch when they were first added, not paying attention to whether I already had that specific egg or not. For all I know, they're all Zapdos.
I have two now that Enterprise hatched - I hope they end up not being Moltreses, because I wasn't paying attention to the "in your collection/not in your collection" part at first.
Sooooo, I just got something called a mythical egg? :O I assume it holds something like a Mew or Celebi in it cuz of the name?
I currently have wow shiny and ooh nice colors. I was hatching wow shiny before the exp problem, then I'll hatch ooh nice colors ^^
I probably miscounted when going through my page, but I believe I have 46 Eggs: 22 red/blue eggs 6 Mew eggs 9 Odd eggs (one of each type) 7 gold/silver eggs 1 Celebi egg 1 egg that's either a Mew or a Celebi but is probably a Celebi Or 47 if you want to count Togetic as an egg, but it's long since hatched from the Mystery Egg so I don't. I'll never hatch them all, I'm sure, so I'm hoping that trading will become a thing sooner than later - but sorting will precede it.
I still have way too many to hatch them all... Especially, now that they Johto legends have been added.