I'd rather say all civs prominent in eurocentric perspective get in automatically - those which interacted with Westerners have much more chances of being recognized that greater civs which didn't.
I really, really dislike this ignorant notion and it can be observed on numerous occasions. Look: Persia (Iran, to use native term, not Western one

) has 2500 years of history, with post-Achaemenid periods of it IMO more glorious and impactful than Achemenid empire, yet in civ series it is always 100% consisting of Achaemenid empire which lasted less than 250 years. Why? Because it was defeated by Westerners (Greeks - 'westerners' in classical ignorant perspective). Enormous cultural and scientific impact of Islamic Persia - ignored. Safavid empire - ignored, Nader Shah (absolute military genius) - ignored, because they weren't directly encoutnered by westerners.
Japan for most of its history was isolated bothering its own problems (in general I'd risk saying it is one of the most peaceful civilisations in human history), with no impact on the outside world till 20th century (so actually for like 95% of its history), but it is guaranteed to be in because it impressed Western people who encountered it. It also always have very strong military focus, despite real life Japan attempting outward expansion
twice in ~2500 years of its history! Why? Because one of those periods of expansion, 1905-1945, just happened to be against Westerners.
Aztecs are less impressive than other Precolombian peoples (Mayas, Olmecs, Zapotecs...) but they are here because Western people encountered them first.
Zulus are a complete joke, primitive tribe which in no way should be among 'particularly great historical empires', but it is here just because British popculture noticed it.
Roman opponents get an unwarranted attention in civ series even if they, objectively speaking, didn't matter historically, they're here just because Romans encountered them - Carthago is here but Phoenicia not, Boudicca is here despite being failed leader of stupid suicidal rebellion, Attila was here despite being ephemerical as hell and quite quickly stopped...
Oh, and I very dislike Gandhi both as a leader of Indian civ and historical person (IMO he is the most overrated person of 20th century) and again I think he is here only because of Western popculture encountering him, while there were tons of much cooler and greater Indian leaders across history - just not encountered by West.