Web portals have become widely accepted and convenient means of electronic presence for organisations, businesses, and governments. As a result, a plethora of information services are now being delivered by organisations be it government, business firms, or academic institutions across the world. This has raised concern for accessibility of such web services by users belonging to different age groups, physical challenges, ethnicity, and levels of literacy. In order to enhance web accessibility, one must consider the accessibility of both web portals and web browsers. Towards this end, in this paper, we have studied the accessibility compliance of some popular web browsers with respect to User Agent Accessibility Guideline (UAAG 2.0). We have provided a quantitative evaluation of different aspects of accessibility of web browsers which we believe can help in the better designing of web browsers by taking care of the deficiencies inherent to them.