For MySQL, try MySQL Workbench.
For both MySQL and PostgreSQL, try TOAD Data Modeler.
If you use the open-source diagram app Dia, there are several tools to generate Dia diagrams from SQL databases including MySQL and PostgreSQL.
update: MySQL Workbench 5.2 supports reverse-engineering diagrams from a live database in addition to an SQL script. MySQL Workbench 5.2 just announced their Release Candidate 1 (as of 5/12/2010).