I agree with Katie, about an agent who likes the voice, the story, who gets it, feels it, who knows who else would love it.
In addition, I also look for a good salesman. Someone who has an intelligent sales technique and who can also be cheeky (in a nice way). But Above all, I'm looking for an agent I gel with on a personal level. I've learnt the hard way that sometimes no agent is better than the wrong agent. After I finished drama school many years ago, I was young and naive, and happy to have any agent as long as I had an agent. Wrong. Long story, but he was impossible to have a rapor with and to top it all, he ended up being black listed with Equity under at least 5 different names. Once I found out about that (it was pre-internet times, so no easy research), I speedily cut all ties.
Nowadays I'm much more choosy. I think that being able to build a good relationship with an agent is essential. We need to be on the same page (sorry, bad pun, I know), and if we can have a laugh, and a beer together, then even better.
As for your request for 'fun' facts: I collect (and use) antique swords. Does that count?