itch.io

Your right, my mistake the hitmonchan was from a rare egg.  I've gotten remoraid, igglybuff, shellder, mankey and doduo from common eggs.  From what I can tell the eeveelutions are good ways to get carmelita, michiru, blaze, and gumy.  Ive gotten blaze from Umbreon +Houndour and Magcargo + Flareon.   Gumy from Leafeon + Venusaur and Leafeon + Vileplume.

I'm trying to make sure not to list any flaapy egg results that can be gotten through breeding.

common flaapy eggs:  Psyduck, Grimer, Koffing, Meowth, Caterpie, Metapod, Weedle, Kakuna, Sandshrew, Seel, Venonat, Goldeen, Azurill, Spearow, Bellsprout, Voltorb, Krabby, Hitmonchan, Horsea, Omanyte, Paras, Tentacool

Your not the only one that can't access those images, this is a known issue and has been reported on their bug list so assume they are working to fix it.

https://itch.io/t/6442498/unofficial-guide-tips-and-research 

If you want the tldr version then try either 2 Celebi together or Renamon-Nun + Cleffa.  Both of those breeds have a chance for 2 different multiverse mons.

Braixen-Nun has the Fairy type and that is how you got Gumy

I bred a batch using Cleffa + Renamon-NUN and got 2 Gumy and 2 Michiru. Later got another Gumy from Cleffa + Sylveon and I can verify that Tawna Bandicoot is only available from Epic level Flaapy eggs.  2 Celebi bred together can give you both Ankha and Gumy.  Weezing + Ekans gave me Fifi le Fume.

Carmelita Fox from Hydreigon + Gible

Michiru from Latias +Gallade

Gumy from Vileplume + Sceptile