Gouldians are fairly docile, quiet flock birds, but just like other species, they can become territorial during breeding season. So I would suggest that until you become familiar with owning different species and their breeding habits, that you only house different species together when they are not in breeding condition.
Typical species that can be housed with Gouldians in a non-breeding colony would be Owl Finches, Society Finches, Parrot Finches, Masked Grassfinches, Longtail Finches, Shafttail Finches, Canaries and various African waxbills…Cordon Bleus, Purple Grenadiers, Orange Cheek Finches, Green Singing Finches, Lavender Finches among others. You should never house Lady Gouldians with Parrot Finches during breeding season because these 2 species are closely related and will hybridize. I would also not house Gouldians with Society (Bengalese) Finches during breeding season because some Society Finches do carry diseases that will infect and kill Gouldian chicks.
I would NEVER recommend housing Gouldians with Zebra Finches at any time because there are high activity finches and will stress quiet finch species like Gouldians.
What other birds can I keep with my Gouldians in my mixed aviary?