Working Holiday to Work Visa

So I just switched my visa from a working holiday visa to a work visa. Is there anything else I need to do? Do I need to notify anyone about the change in visa status? Thank you.

Congratulations on your changing status of residence.
You should talk to a contact person of your company to ensure how to go about,
to begin with. Also, you go visit the local government, your city office, with your 'Zairyu Card' to report your status change. Good luck!

No, there is no need to go to the city office to report the status change. You may need to go there to renew your My Number card, however, if it expires soon.