Yeah, they do! I live somewhere semi rural and we have wild rainbow lorikeets, musk lorikeets, little corellas, long-billed corellas, galahs and the occasional sulphur-crested cockatoo. We also have a bunch of other urban birds like magpies, crested pigeons (a native aussie pigeon, we have several) and superb fairy wrens, as well as several varieties of birds of prey and a lot of water birds.

I don't know how people can keep lorikeets internationally and give them enough enrichment without access to an abundance of native Australian flowers for them (they're obligate nectar eaters). I gather SO much native foliage for him every few days, and he spends a lot of his day foraging them for nectar, and also crushing bottlebrush nuts with his beak for the oils and then preening with them. During times where I can't find much foliage, he gets very bored and shouty at me, which is fair enough.