Mysql replication and ignore tables
Please change the directive to one of the following:

replicate_wild_ignore_table=phpmyadmin.%


or

replicate_ignore_db=phpmyadmin.%


mysql database

No need to do mysql. Why? Doing GRANT and REVOKE commands will bypass replicate_wild_ignore_table=mysql.% because the SQL does not explicitly mention mysql schema tables.

This will get by replicate_wild_ignore_table=mysql.%:

GRANT ALL PRIVILEGES ON *.* to rolando@locahost;


This will get caught by replicate_wild_ignore_table=mysql.%:

INSERT INTO mysql.user VALUES (...);


If you want to keep replicate_wild_ignore_table=mysql.%, I suggest the following:

SET sql_log_bin = 0; INSERT INTO mysql.user VALUES (...);


This will prevent the SQL from being recorded in the master's binary logs. Consequently, all SQL executed in the DB Session after SET sql_log_bin = 0; will not replicate.

information_schema database

As far as the information_schema database, mysqld uses it to monitor database metadata. Each is unique to the MySQL instance. They never replicate intrinsically because you have the option to keep different table on Master and Slave. If the information_schema was replicated, then creating replication schemes such as


using the BLACKHOLE storage engine for Star Topologies
using an all-InnoDB Master and an all-MyISAM slave


would be impossible for Slaves to handle.

SUMMARY

Doing

replicate_wild_ignore_table=phpmyadmin.%


or

replicate_ignore_db=phpmyadmin.%


should be all you need. Notwithstanding, make sure any SQL that prepends phpmyadmin to all it table names may still slide by if the default database is not phpmyadmin.