An alphabetical list of brands and models can be found in the article Category:Typewriter. Each entry in this list is a link to a page containing historical and technical information about that specific typewriter model.
This is by no means a comprehensive list, and is being updated periodically.
Brand Page
Use this page to search for machines based off branding, instead of just the massive list of typewriters thrown at your face.
Category:Typewriter Brands
Gallery
Images of typewriters from the wiki:
Gallery