This question already has an answer here:
According to this related question it is possible to stay legally in the Schengen Area after the expiration of a long visa for 90 days.
This is the ammendment from where this quote comes from:
For the purposes of implementing paragraph 1, the date of entry shall be considered as the first day of stay on the territory of the Member States and the date of exit shall be considered as the last day of stay on the territory of the Member States. Periods of stay authorised under a residence permit or a long-stay visa shall not be taken into account in the calculation of the duration of stay on the territory of the Member States.
So this pretty much settles the case, but I don't know to which exact countries this applies.
I am from Brazilian nationality and my country is part of the Annex II countries that don't need a visa to enter the Schengen Area.
However, according to the User manual for the short-stay "Schengen" calculator (cannot post more than 2 links), Antigua and Barbuda, The Bahamas, Barbados, Brazil, Saint Kitts and Nevis, Mauritius, and Seychelles are somewhat different because they hold a visa waiver agreement with the EU.
In the same guide it is stated that for these countries
the old definition ("3 months during a 6 months period following the date of first entry") continues to apply
So finally my question is: Does the full old interpretation of the date of first entry (Verification of the length of previous and intended stays under the old rules) still applies to these countries or just the 90 days/180 days part (or any other possibility I haven't thought of)?
I would also like some reliable links to support the answer. This guide is unclear as to how they define the day of first entry and is not an official document
Update: I left Europe to Brazil through the Charles de Gaulle airport at Paris. At first I presented my passport and the border guard asked for my titre de séjour (French long-term visa), which was expired for about 2 months at that time. The guard didn't even comment that it was expired and he let me pass.
So nothing happened to me but I still don't know exactly if I was illegally staying in the country or not.