Есть ли у швейцарцев какие-то особенные id-card?. Там же есть такое.

Что такое последний указанный документ вообще не знаю Foreign nationals from non-EU/EFTA states – travelling in the Schengen area Foreign nationals from non-EU/EFTA states in possession of a valid Swiss foreign national permit B, C, L or Ci do not require a visa to visit a country in the Schengen area ( up to 90 days within a 180-day period). However, you must carry a valid Swiss residence permit and valid travel documents ( your passport or a Swiss travel document for foreign nationals).