This is an older topic, but I'd just like to add a thanks to those who answered here. V. useful, especially as the Desperado 1 font has also been renamed "Conan".
Actually there's an even better font than Desperado 1
(as "Conan" still appears in font menus). It's called Ronan
- "A bold font evoking Dark Age adventure". It was created by the "Mad Irishman", Patrick Michael Murphy, and is available from MyFonts
... for US$22.
This seems to be a pretty faithful adaptation of the official Conan font, Hyborian. Its repertoire is pretty good: while Desperado 1, like many freeware/shareware "fantasy" fonts, doesn't offer much beyond the basic Latin set, Ronan offers many accented Latin and Cyrillic (Russian) characters too. There are a few kerning problems... "IL" for example leaves too little space between the letters. But Patrick seems to have put enough work into this to justify the price tag.
Thanks to zeathiel on the conan.com forum for pointing this one out.
PS. Desperado 1 is closest to Hyborian/Ronan when bold and scaled 150%.