General synonyms:
* Exile: To force someone to leave their home or country.
* Expel: To officially force someone to leave a place.
* Deport: To force someone to leave a country, especially someone who is not a citizen.
* Oust: To force someone out of a position of power or authority.
* Eject: To force someone to leave a place, especially quickly or forcefully.
* Evict: To force someone to leave a property they are renting.
Words with a more figurative meaning:
* Exclude: To prevent someone from being part of a group or activity.
* Suppress: To prevent something from being expressed or known.
* Eradicate: To completely remove something.
* Abolish: To officially end something.
Words emphasizing the feeling of being banished:
* Outcast: Someone who is rejected by society.
* Pariah: Someone who is shunned or avoided by others.
* Alienate: To make someone feel isolated or unwelcome.
The best word to use will depend on the specific context.