General synonyms:
* Suppress
* Delete
* Remove
* Edit
* Cut
* Purge
* Expurgate
* Redact
* Block
* Ban
* Prohibit
* Restrict
* Control
Synonyms related to censorship of speech or media:
* Gag
* Silence
* Muzzle
* Suppress
* Blackout
Synonyms related to censorship of content:
* Filter
* Screen
* Vet
* Moderate
Synonyms related to official censorship:
* Regulate
* Monitor
* Control
* Oversee
The best synonym for "censor" will depend on the specific situation and the intended meaning.
For example, if you are talking about a government agency censoring news reports, "suppress" or "control" might be the most appropriate. If you are talking about someone editing out offensive language from a book, "expurgate" or "redact" might be better.