I have chosen to parody the writing styles of Carlos Castaneda, James Redfield, Richard Bach, Lynn Andrews, and several other best-selling new age authors.
In one particular chapter in Ulysses, James Joyce imitates every major writing style that's been used by English and American writers over the last 700 years - starting with Beowulf and Chaucer and working his way up through the Renaissance, the Victorian era and on into the 20th century.
He managed to do this 'tour de force' of styles without ever breaking the narrative structure of the chapter he was writing. It is the most brilliant parody of writing styles that I have ever read.
If you want to create a different character, you can do so just by altering your style of dress and cosmetics.