Synonyms for the phrase "took lid off" include "opened," "uncovered," "removed the cover," "lifted the top," "cracked open," "exposed," and "revealed." Each of these phrases can be used interchangeably to convey the action of removing a lid from a container, whether it be a jar, can, or box. Additionally, some other phrases that could be used to describe this action include "peeled back," "unfastened," "unscrewed," "uncorked," and "uncapped." It is important to choose the most appropriate synonym depending on the context and intended meaning of the sentence.