Wow, that shiny living dex thing is incredible, I never would’ve thought of that hahaha.
I just checked the database and realized that Gulpin never appears in the wild... my mistake, I completely missed that, and same with Anorith and Lileep.
Breeding them would be too RNG-limited to once per day, so if you want them shiny, the only thing I can think of is to buy lots of Union Tickets in Ecruteak City and spend them on random Shinies, the chance of getting Lileep or Anorith is 0.55%.