autorrenovarse

Used both for subscriptions and memberships that renew automatically (la suscripción se autorrenueva cada mes) and, figuratively, for a person or institution reinventing itself over time.

• Recuerda cancelar antes de que se autorrenueve la suscripción. — Remember to cancel before the subscription auto-renews.
• La banda logró autorrenovarse musicalmente en cada disco. — The band managed to reinvent itself musically with every album.
• El contrato se autorrenueva anualmente si ninguna parte lo cancela. — The contract automatically renews each year unless either party cancels it.

In the subscription or contract sense it's a neutral, common word; in the figurative "reinvent yourself" sense it can sound more formal than the everyday reinventarse.