There have been initiatives in that direction like the Journal of Unsolved Questions http://junq.info/?page_id=3327 , but I'm not aware of anything that lasted for more than one caretaker generation.
Ajit, there is no shortage of "unsolved" problems or quandaries in sciences, especially in Physics (my background), however finding open data sets that will help students of science and technology address these problems is as well an "unsolved" problem. During the last decade of my career (2006-2017), I had the opportunity to visit with leading global research universities and labs (US and Europe); many held on to datasets developed (or acquired) that could help researchers address such problems but I am not sure now if any made it to the public domain.