I've been trying to create a new QDB mysql bookmark, but I can only see two possible drivers:
sun.jdbc.odbc for MsAccess and for JDBC-ODBC.

No MySQL, no PostGre drivers at all.

Where could I find them?

We hsould ship them:
For mysql you can get it there:
http://dev.mysql.com/downloads/connector/j/5.0.html

For postgres here:
http://jdbc.postgresql.org/

This is the error seen. How can I connect the Data base driver?

java.sql.SQLException: Access denied for user 'dbadmin'@'localhost' (using password: YES)
    at com.mysql.jdbc.SQLError.createSQLException(SQLError.java:1056)
    at com.mysql.jdbc.SQLError.createSQLException(SQLError.java:957)
    at com.mysql.jdbc.MysqlIO.checkErrorPacket(MysqlIO.java:3376)
    at com.mysql.jdbc.MysqlIO.checkErrorPacket(MysqlIO.java:3308)
    at com.mysql.jdbc.MysqlIO.checkErrorPacket(MysqlIO.java:894)
    at com.mysql.jdbc.MysqlIO.secureAuth411(MysqlIO.java:3808)
    at com.mysql.jdbc.MysqlIO.doHandshake(MysqlIO.java:1256)
    at com.mysql.jdbc.ConnectionImpl.createNewIO(ConnectionImpl.java:2032)
    at com.mysql.jdbc.ConnectionImpl.<init>(ConnectionImpl.java:729)
    at com.mysql.jdbc.JDBC4Connection.<init>(JDBC4Connection.java:46)
    at sun.reflect.NativeConstructorAccessorImpl.newInstance0(Native Method)
    at sun.reflect.NativeConstructorAccessorImpl.newInstance(NativeConstructorAccessorImpl.java:39)
    at sun.reflect.DelegatingConstructorAccessorImpl.newInstance(DelegatingConstructorAccessorImpl.java:27)
    at java.lang.reflect.Constructor.newInstance(Constructor.java:513)
    at com.mysql.jdbc.Util.handleNewInstance(Util.java:406)
    at com.mysql.jdbc.ConnectionImpl.getInstance(ConnectionImpl.java:302)
    at com.mysql.jdbc.NonRegisteringDriver.connect(NonRegisteringDriver.java:283)
    at java.sql.DriverManager.getConnection(DriverManager.java:582)
    at java.sql.DriverManager.getConnection(DriverManager.java:185)
    at jdbcConnectionUpdate.JDBCExample2.main(JDBCExample2.java:24)