Things are changing and more and more countries around the world are requiring fingerprints at least at airports. For example, Peru and Senegal both required me to give my fingerprints when flying into their main airports.

Quite normal for me with UK passports, to be fingerprinted.

Some countries (Russia comes to mind) require you to physically go to the visa centre to get fingerprinted as part of the visa application, and then again when you arrive at immigration

Other places where visas are online, on arrival, or not needed at all, tend to fingerprint at the border -- the U.S, Singapore, etc.

We currently don't need to get fingerprinted in the EU, but we decided to remove our freedoms so not sure if that will change next year.

Getting fingerprinted is such a common thing that I can't remember many specific countries requirements.

Just FYI: It is generally required for EU passports to have fingerprint biometric data. From the Wikipedia page, passports of the European Union:

Only British and Irish passports are not obliged by EU law to contain fingerprint information in their chip. With the exception of passports issued by Denmark, Ireland, and the United Kingdom, all EU citizens applying for a new ordinary passport or passport renewal by 28 August 2006 (for facial images) and 28 June 2009 (for fingerprints) should have been biometrically enrolled. This is a consequence of Regulation (EC) 2252/2004 in combination with two follow-up decisions by the European Commission.