Here are some links to the web that might be of interest to you.

• Nai Duniya (meaning New World)
  A hindi site with content focussing on news. Needs a hindi font available on the website.
• Navbharat Times (Times of India - Hindi edition)
  This is the hindi newspaper published by the Times of India group. The website uses dynamic hindi fonts. You may need to install a dynamic font player (free download).
• Press Trust of India - Hindi Edition
  This is a very good site with Unicode content. There is also an English version so you can improve your Hindi/English if you are interested.
• Dainik Bhaskar (meaning Daily Sun)
  This is the fastest growing Hindi newspaper in Nothern India. The website uses dynamic fonts, you may need the bitsteam font player. It is safe to get it on your computer if you are security conscious!
• Rajasthan Patrika (A popular hindi newspaper)
  This is a popular newspaper in north west of India. The online version is not in unicode yet but you can use the font available on the bottom of the main page of the website.
• Pratahkal (meaning "Morning Time")
  Here is another hindi news site. It covers all of India but
  primary focus is on the western regions of Rajasthan and the metro
  cities Mumbai and New Delhi. They also have a print edition that is
  published daily.