Hindi lessons on the Internet:
Learn Devanagari. Start here, learn the Devanagari script with the help of these beautiful real media movies.
Another method to learn Devanagari, great!
Learn to read Devanagari (letters with nukta are missing)
Open Learning Hindi. A great initiative, the first lesson is for free.
Learn to read Hindi. Not exactly an "university level" course, but a nice "appetizer"
Hindi lessons from the Australian National University
Hindi Program at UPenn
Syracuse University Hindi course. Well done, a bit like the Latrobe pages
Hindi student notes by Poul Williams
Hugo's Simple Hindi Sentences in Devanagari script to practice Devanagari, Hindi or Itrans
Hugo's Simple Hindi Dialogs in Devanagari script to practice Devanagari, Hindi or Itrans
Hugo's additional pages for "A Door Into Hindi"
Hindi instructional material from the New York University
Hugo's additional pages for "Virtual Hindi from the New York University"
An online Hindi-English English-Hindi dictionary and a collection of sentences
Vocabulary training, dictionary...
Beginner's material by Akhlesh Agarwal
Hindi flashcards by Murtikaar (install xdvng-font)
Link for installing xdvng-font
Same Hindi Flashcards by Murtikaar without those annoying pop-ups (install xdvng-font)
List of useful basic words and phrases
Advanced Level Material from the Mellon Foundation