Name a CD you own that no-one else on your friends list does.
Hm. I have a whole bunch of random bargain-bin classical compilations, but they're only unusual combinations of obvious things. Let's try Wake up by The Boo Radleys (album; there's probably a fair chance that British, chart-aware people my age have the single).
Name a book you own that no-one else on your friends list does.
I'm going to go for GB Edwards: The Book of Ebenezer Le Page, if only because I'm very much hoping to be proved wrong here.
Name a movie you own that no-one else on your friends list does.
I definitely fail on this one, since I own precisely zero movies. And I surely can't be the only person of my LJ circle in this position. I've seen a film that I reckon nobody else has, though: Tilsammans ('Together'). Any takers?
Name a place that you have visited that no-one else on your friends list has.
This is the one where everybody seems to trip up. My first guess would be random tiny little villages in the depths of Pembrokeshire, but I discovered lethargic_man has actually been to most of them, which quite likely means papersky has also. So let's try Queenscliff, Australia; there's only one Aussie on my flist (I think) and Queenscliff is not exactly a major city.
I bet I'm going to lose on every single one of those. It's probably just a question of how quickly I get the counterexemplary comments.