Just spent two weeks in Greece during November. All of the islands are beautiful. I think you will love Mykonos, but check out Santorini too. If you are interested in the most famous of ruins, you have to fly over to Athens. It's really nice after the Olympics renovation and the people are awesome.
Northern Spain is gorgeous and one of my favorites. Amsterdam is something you have to see at least once, but everything is very $$$.
That's a lot of places to see in 10 days, might want to try and swing a few extra ones.
