Anguirus: A skeleton resembling him briefly appeared in King of the Monsters, so they could easily introduce him, with the skeleton being another member of his species. Or, as DangerVille suggested, the skeleton could actually belong to Anguirus himself, with the series introducing him in a story set in the past that eventually shows how he died.
Gigan: They've already established the idea of aliens in the MonsterVerse, so they could do a classic alien invasion storyline, with Gigan being part of their army. Plus Gigan is just so bizarre, it would be a missed opportunity not to include him.
Destoroyah: The Oxygen Destroyer has already been introduced and used in the series (and it could possibly be used again), so Destoroyah seems like a good candidate. They could introduce him (and possibly an army of Destoroyahs) in the last MonsterVerse film, being a massive world ending threat that Godzilla, Kong, humanity and the other Titans have to face off against in one last battle to protect the Earth.