In phpMyAdmin a 'Search' feature is available:
- Select particular database not table.
- Click 'Search' tab
- Enter the search term you want
- Select the tables you want to search in
phpMyAdmin screen shot:
The 'Search' feature is also available in MySQL Workbench:
- Database Menu > Search Table Data
- Select database and tables you want to search (it will search in selected tables only)
- In search you can use wildChars.
MySQL Workbench screen shot: