In the footer of my page, I would like to add something like \"last updated the xx/xx/200x\" with this date being the last time a certain mySQL table has been updated.
The simplest thing would be to check the timestamp of the table files on the disk. For example, You can check under your data directory
cd /var/lib/mysql/ ls -lhtr *.ibd
This should give you the list of all tables with the table when it was last modified the oldest time, first.