Here are some synonyms for "beseech":
* Beg
* Plead
* Implore
* Entreat
* Supplicate
Here are some examples of how to use "beseech":
* "I beseech you to reconsider your decision."
* "The queen beseeched the knight to save her kingdom."
* "He beseeched his father for forgiveness."
While "beseech" is still understood, it might be better to choose a more common synonym for everyday use. However, it can add a sense of formality, seriousness, or even dramatic flair to your writing.