For an alternative take on a related topic, this is really a fantastically well-written and practical (free) book: http://craftinginterpreters.com
I'm of the opinion that if you have to learn ONE thing about parsing then it should be how to write a recursive descent parser by hand. It is the parsing technique that you are most likely to use in a real project if someone throws a parsing hot potato in your direction.
That said, if you are on the mood to learn at least two things about parsing then there is no way around the LL and LR fundamentals. :)
For recursive descent we have a separate class "Building a Recursive descent parser from scratch" which is purely practical coding class for those interested mainly in practice.
For runtime semantics (Interpreters and Virtual Machines) you can address "Essentials of Interpretation" aka "Building an Interpreter from scratch".