Not just Spain. If you’ve ever traveled you’ll know that the first question you’re asked at a hotel upon checkin is “Can I see your passport?”

I knew Estonia did, so I used that as a basis for a search. Apparently they requested basically an RFC from other EU countries on whether they do [1].

Of the respondents, the following require registration: Belgium, Estonia, Finland, France, Germany, Hungary, Latvia, Lithuania, Luxembourg, Portugal, Spain, Sweden, and Norway.

That’s non-exhaustive, I know from other sources that at least within the EU Italy does as well, not to mention countless other countries around the world.

1: http://emn.ee/wp-content/uploads/2016/02/466_emn_ad-hoc_quer...

I can confirm that it is also the case in Italy and Mexico. My family and I stayed there recently. In both countries, they took copies of our passports to send them to law enforcement agencies as part of the hotel check-in process.

This is common in many countries; whether official or not.