I'm not really sure what you mean that it can't be a "trendy place," like can you not go to Europe at all? If you're just talking about the major cities, I would definitely recommend doing a round-trip tour of Europe, although I'm biased because I love castles :P
Scandinavia is great, but it is pretty dang expensive for Americans, especially nowadays.
I know this is heresy, but I went to New Zealand and didn't fall in love. Everywhere I went just felt really touristy... it just felt like the only things to do there were "adventure sports" like Zorbing and black water rafting, which are cool, but after paying something like $80 for Zorbing for about 15 seconds I kinda questioned the worth of it. I guess overall I felt like New Zealand is such a "new" country it didn't have very interesting history for me, at least.
A friend of mine recently took a several month tour of Southeast Asia and said it was awesome, and that's something I'm looking to do at some point.
It really boils down to what you're wanting to do. Are you wanting to really relax on your vacation, or do you want to see a lot of places; are you interested in history? Personally I think there's something beautiful to find in most parts of the world, so it's really more about what you're wanting to do when you get there