Since every install of MySQL is different, general tuning suggestions aren’t really available. They will vary depending on a lot of factors including hardware resources, schema, how the data is used, storage engines involved, and the like.
Something that I would recommend is picking up High Performance MySQL from O’Reilly press. The current version is a bit dated now (released in 2012) but it still very useful. If you can wait a couple of weeks, the new version comes out next month.
You can also try out MySQL Tuner to identify some opportunities for configuration improvements. Just make sure that you thoroughly understand the settings and the effects of any changes that you might consider making since you are in a production environment.