mysql replication - missing table for foreign key on slave
Since error 1452 breaks the SQL thread, you can make MySQL Replication skip that error by adding the slave-skip-errors option under the [mysqld] group header in the Slave's my.cnf as follows:

[mysqld]
slave-skip-errors=1452


You will have to restart mysql for this to take effect.

Give it a Try !!!

CAVEAT : Your data integrity will deteriorate when added new data because many INSERT queries or multiple-row INSERTs will fail because of just one row not having parent keys.

You should really consider loading all referenced tables into the slave to have good, clean data. Otherwise, it's not a true copy of the Master.