Name a CD you own that no-one else on your friends list does:
If this really only allows CDs, I'll go for the implausibly-named It's A Drug, It's A Drug, It's A Ha Ha Ha, It's A Trojan Horse Coming Out Of The Wall (American Gothic) by The Very Things.
If we're allowing vinyl, I'd prefer to go for Raw But Tender by Jaki Whitren.
Name a book you own that no-one else on your friends list does:
Mr Blossom's Shop by Barbara Euphan Todd.
Name a movie you own on DVD/VHS/whatever that no-one else on your friends list does:
Hmmmm... tricky, I'm not really a movies person, as you all know. But I'd be surprised if anybody else has the silent movie (annoyingly retinted, with soundtrack by Rick Wakeman) of Phantom of the Opera, starring Lon Chaney.
Name a place that you have visited that no-one else on your friends list has:
Even trickier, as I am poorly-travelled, so I will have to cheat and choose somewhere small and dull and just hope that it's obscure enough:
Robertsbridge. (Not dull, actually, but hopefully it'll fox the Leics rambling mafia!)
(If I'm wrong on any of these, please correct me!)