Internet-based data sources and resources continue to grow exponentially, making the mechanisms for searching and discovering insights, and making sense of data, a crucial field of research. Our talk will present two sister projects, Next Generation Internet (NGI) Search and OpenWebSearch focused on improving the way we search for information in the internet and creating new mechanisms to improve transparency, privacy, and trust, contributing to the overall vision of a more human-centric Internet. Internet-based data sources and resources continue to grow exponentially, making the mechanisms for searching and discovering insights, and making sense of data, a crucial field of research. Our talk will present two sister projects, Next Generation Internet (NGI) Search and OpenWebSearch. The objective of the former is to support innovative projects to develop trustworthy solutions towards the development of new ways of searching data by addressing the challenges of power cognitive search, natural language processing, and social computing amongst other cutting-edge fields through five Open Calls. The projects will be compliant with open, collaborative and unbiased values. On the other hand, NGI OpenWebSearch has its origins in concerns over the imbalance of the search engine market, that are dominated and limited by a few gatekeepers. Thus, information as public good, with free, unbiased, and transparent access is not under public control anymore. Over the next three years the researchers will develop the core of a European Open Web Index (OWI) as a basis for a new Internet Search in Europe. Both projects will lead to more transparency and choice with a focus on privacy and trust, contributing to the overall vision of a more human-centric Internet.