When I visited the USA in the early 1990s, I was asked if I had ever seen colour television before.
Euro banknotes are identical throughout the Eurozone, but the coins have one face with a national design. Spanish euro coins show the Cathedral in Santiago on the 1, 2 and 5 cent copper coins, an image of Cervantes (who wrote Don Quixote) on the 10, 20 and 50 cent coins, and a portrait of King Juan Carlos on the 1 and 2 euro coins. Other countries have their own designs, but they're legal tender throughout the Eurozone. We get a lot of French, German and Irish coins here because it's a tourist area.
You quite often come across "foreign" euro coins in your change. There are lots of people who collect them to try and get the entire sets of coins from all the different issuing countries. The Finnish ones are quite attractive. I've got a mate who obsessively checks his change because he's looking for the Slovenian coins. The ones most sought after are coins from the Vatican City because they're only issued in limited numbers.
You can buy proof sets of British euro coins on eBay. They're not legal tender but were trial designs in case the UK ever joined the Eurozone. There was going to be a separate design for Scottish 1 and 2 euro coins, like there already is with pound coins.
There's an auction for some here.
tinyurl.com/5npwpw