General:
* Aim for
* Desire
* Long for
* Seek
* Strive for
* Yearn for
Formal:
* Ambit
* Envision
* Hope for
* Pursue
* Target
Informal:
* Dream of
* Fancy
* Have your sights set on
* Want
Other:
* Be ambitious about
* Be driven by
* Have aspirations for
* Look forward to
* Set your sights on
The best synonym will depend on the context and the specific meaning you want to convey. For example, "aspire to be a doctor" sounds more formal than "dream of being a doctor".