Blacklist: Broader, usually applied to products and companies. China blacklisted Facebook. The US blacklisted Huawei.
Any government will try to censor at some point. The difference is that Western countries have independent judicial branches with the power to stop the government from censoring.
US blacklisted Chinese companies from buying US products.
It's a subtle difference.
Censorship can also describe private actions such as Twitter/Facebook refusing some ideas, and is that case is vastly vastly present in every country.
That's only true in the vernacular. True "censorship" is only relevant to government suppression. Individuals or private corporations are under no legal obligation to allow certain ideas/topics.
*That is to say, I could perfectly well create some new social network messaging app that specifically does not allow any posts about honeybees, screwdrivers, or Turkey. The government could not prohibit those topics.
(Though it does become problematic as communication channels are concentrated in a few parties hands, which is why, in part, we have things like the common carrier doctrine. In the end, if one party accumulates enough power and uses it in a way that it is oppressive, whether that party is a government, a warlord, or a corporation).
If you punch anyone who talks loudly, that's problematic for other reasons but not censorship per se. If you punch anyone who talks about Tienanmen square, you're censoring them.
Pornography would be an example of something the US censors in certain contexts. We aren't banning your billboard because it's a billboard, we are banning it because the image on the billboard is people having sex.