Is there a name for adjectives that are based around someone's name?

Some examples would include:

  • Shakespearean
  • Christian
  • Mesmerized
  • Pavlovian
  • Newtonian
  • Boolean
  • Darwinian

Those are eponymous adjectives. Wikipedia says:

An eponymous adjective is an adjective which has been derived from the name of a person, real or fictional. Persons from whose name the adjectives have been derived are called eponyms.

It follows with a more-or-less comprehensive list that might be worth looking at.