I would like to customize the language switcher module, that is I would have some different effect, like having name and flags together. How could I perform it?
Joomla version 3.3.6
template used: SJ plus v1
You can easily create an override of that module from Template Manager, as explained here:
Just go into the "override" tab and click con "mod_language" on the modules list. You'll get lang switcher overrideable file added to your template's HTML folder (inside a mod_language subfolder). Just browse to that file and edit it directly from your template manager:
Once there, it's up to your HTML/CSS skills how much you can modify the module ;).