Wikileaks perhaps. They got cut off by mastercard but I don't recall hearing them lose their hosting or domain name. Although I wonder if you'd be one to consider them "russian disinformation" and therefore deserving of being shut down. The pirate bay? Lost many domain names at various times and probably hosting too. Are they also deserving of it due the the scale of the copyright infringement they help? Personally I think piracy is a moral imperative these days.

Non-controversial sites do not get shut down.