The phrase "according to all accounts" is often used to indicate that information is based on multiple sources or perspectives. Some possible alternatives include "as reported by various sources," "based on numerous reports," "according to widely held beliefs," "as per prevailing opinion," "based on multiple sources of information," or simply "as commonly understood." These alternatives can add variety to your writing and indicate a meticulous approach to gathering and considering information. When using synonyms for "according to all accounts," it's important to be precise about the sources of your information and to avoid making sweeping generalizations without proper evidence to back them up.