If you want a completely different culture and want to learn then I would go to Japan 100% or any other asian country, I'm not even a weeb and it was still enjoyable. If you only have one week then go to Tokyo, if you have more, then visit other cities like Kyoto, Osaka or Nagoya, I went for 3 weeks and it was pretty damn good, definitely a different experience.
If you want something in Europe then some cities in Tuscany (Italy) such as Florence, Pisa, Siena are all great, they have amazing landscapes and plenty of world heritage sights.