The websites typically use archaic technology, and proprietary fonts. So bengali news-sites do not work with my system by default (Ubuntu Linux).
However, now that I am fishing for interesting news for TwoCircles.net for the election season as a volunteer, I needed to fix that problem. And AH, fixes were close at hand.
For Aajkaal.net, and Bartaman, all one needs to do is to go to their help pages and download and install the true type fonts. It’s very simple, really. Just browse to this page, click on the two links for the .ttf files, on the download dialog box, choose to open with font installer, and then click install. Then go to the homepages and refresh the page with F5.
Anandabazar patrika is a bit different. To be able to see their page, you will need an extension called Padma which is available for both firefox and chrome.