Massive volumes of information shared on the web together with linked open data initiatives and exabytes of data generated through social networks frequently disorientates and confuses web users in their everyday interaction. Additionally, web users constitute a highly heterogeneous entities with different needs and requirements. Considering this, user adaptive software systems have been developed as a new application approach to ease the interaction between users and web information with the intent to bridge the gap between such presentation and navigational pitfalls. The user adaptive interaction is especially useful when considering a marginalized group such as blind and visually impaired users. This paper attempts at providing an overview of a state-of-the-art survey concerning adaptive interaction between users and web information space with special emphasis on exploiting methods and techniques for adaptive web accessibility for blind and visually impaired people. Likewise, the exploration of possibilities of new methods and techniques for user adapted interaction for blind and visually impaired is highly required in order to alleviate the accessibility according to Web Content Accessibility Guidelines (WCAG). Recent studies indicate that even when the guidelines are implemented on web information systems, there is little indication that people with disabilities will gain better accessibility. To address these issues, we introduce various visual and auditory approaches to extend such adaptive methods and techniques for blind and visually impaired.