- Timestamp with time zone
- More robust, fewer crashes, less corruption of data
- More features (JSON data type, partial indexes, function/expression indexes, window functions, CTEs, hstore, ranges/sequences/sets, materialized views, too many to list)
- More disciplined (doesn't do things like auto-truncate input to get it to fit into a column)
- Not owned by Oracle, it's actively developed, regular major release schedule, developers/maintainers are talented and trustworthy, etc.
- Better Python driver (don't know about other languages)
- Choice of languages for database functions/procedures (Python, JS, etc.)
- Better partitioning support
- Better explain output, explain analyze, buffers
- Multiple indexes allowed per table in a query (I hear MySQL has made a little progress here since I last used it)