I'm not sure why GP was downvoted. There are many, many examples. You would probably see them if your primary news sources weren't the NYT, the Washington Post, CNN, or MSNBC. Twitter is the poster child for authoritarian leftist social media!
The easiest way to get censored for ideological beliefs was to state that biological sex is a reality: https://www.dailywire.com/news/twitter-censors-tucker-carlso...
Babylon Bee got banned for harmless satire: https://www.dailywire.com/news/babylon-bee-a-factor-in-musk-...
Libs of tiktok was banned for "hate speech." I'm not sure they ever even let the account owner know exactly what was said that deserved censorship: https://www.dailywire.com/news/twitter-censors-popular-accou...
A classic is when the NY Post got locked out for posting factual information that the left wanted to bury before the 2020 election: https://www.dailywire.com/news/nypost-remains-locked-out-of-...
Twitter censored health experts whenever what they said didn't fit the COVID narrative put forth by the CDC: https://www.dailywire.com/news/twitter-censors-white-house-h...
There is still, today, multiple years after the start of the pandemic, no strong evidence that masks did anything significant to slow the spread of COVID. I can provide many citations if you need them. In fact, much of what big tech censored turned out to be true or still plausible today, like: the lab leak theory, natural immunity being more effective than the vaccine (even Bill Gates admits this now!), and so on.
James Lindsay got locked out for saying "OK groomer". https://www.dailywire.com/news/author-james-lindsay-banned-f...
Leftists have said many, many more vile and hateful things than that without suffering a single consequence, including making threats on others' lives: https://www.foxnews.com/media/libs-of-tik-tok-creator-twitte...