There are some nice features that MySQL lacks. Personally, the thing I like best in Postgres is transactional DDL. In MySQL, if halfway through a database transformation your migration script fails, you are in a broken state and you are on your own. Postgres rolls the whole transaction back. Ofcourse there are some other features MySQL lacks, such as variable length character columns (varchar) where you don't need to specify a maximum length.

The transactional DDL seems to be introduced in MySQL per 8.0 though