In addition to being held at federal level, there are also referendums at cantonal and communal level. Generally speaking, referendums can be held on a wider range of matters at cantonal and communal levels than at federal level.
Please consult your canton’s or your commune’s website to find out about what kind of referendum can be launched in your canton or commune and to go about it.
Note: some cantons provide for a mandatory referendum when a certain level of expenditure by the cantonal parliament is exceeded.