Recently, a group of researchers from Ukraine (Enamine, Taras Shevchenko National University of Kyiv, Chemspace, UORSY) published an article on Generating Multibillion Chemical Space of Readily Accessible Screening Compounds.
The paper describes an approach to the expansion of the chemical space of the readily synthesized compounds adding 29 more billion. The number is still far from the estimated 10^62 molecules but we hope to see more papers like the above to expand the accessible chemical space.
You can access some of the molecules on Chemspace via standard chemical search options https://chem-space.com/search or via an FTrees-based similarity search provided by #BioSolveIT https://chem-space.com/real-space!