I'd say that Courier New looks most like a typewriter font
No. Courier is the font used on typewriter keys.
<font face="Sans-Serif">this is what it looks like</font>
Mom's Typewriter
make ur font. ;)
It looks like the keyboard of a computer but instead of a screen it has the paper and if you mess up you have to use whiteout
American Typewriter.
For a typewriter font, you can use either Courier, or Courier New. Courier New is usually better, because - being a TrueType font - it can be scaled to almost any size. This font is not specifically for lowercase - you can use it both for lowercase and uppercase.
Fonts didn't exist because computers didn't. The closest you'll get is a typewriter font or one that looks hand written.
The most recent font being used looks like Bebas Neue.
American Typewriter
Trajan for the logo
Looks like Times New Roman to me