Although I cannot comment on this specifically for Rust, what I would confidently say is that one of the best methods for finding the “best” dependencies in any language is to read lots of code. Find the popular and/or most useful projects written in the language on GitHub and see which dependencies that project uses and how they are used.
At least in my career this method has served me well. For a given problem domain I was able to quickly identify the best/most popular packages to use by reading the code that was heavily used by others. Obviously the more you do this the easier it becomes.