Senior Product Manager
Same as "Product Manager - Advanced", but with more autonomy and responsibility for a wider set products in the portfolio. As usual with these things, it ammounts to more responsibility, same pay.
Product Manager - Advanced
Responsible for: Gathering of customer requirements, assisting customers in trouble, supporting sales with collateral, defining long-term product vision and short-term product objectives, presenting product direction and demonstrations of current functionality during conferences, spending way too much time in PowerPoint, and generally being a jack-of-all-trades.
Software Engineer - Advanced
Same as "Software Engineer", but with more autonomy and responsibility.
Responsible for: tracking down bugs in software and addressing them and for software project deliverables with deadlines and checkpoints.