I too like bumblebees. They make honey, pollinate plants are are very unagressive to people. I often shoo them out the shed with my hands and they'd never attack. A far cry from the wasps.
I love bees too. I used to have a bit of a fear of them because my grandma used to fucking freak whenever an insect of any sort came anywhere near her or myself, and was convinced that my yellow t-shirt would attract hordes of deadly bees. It didn't take me long to realise she was a bit off the mark but the wariness stuck with me for a while.
I was stung once, and in retrospect it was almost certainly because the aforementioned woman was trying to kill it for no good reason while flapping about and shrieking, also I had a Panda Pop which it probably wanted. I watched it sting me in the belly, it was very interesting and I can still recall it with great detail.
Anyway, at this point in my life I have developed a huge bee fetish, I can only achieve climax when surrounded by a colony of the sexy buggers I find them very calming and interesting, as >>1191 says. I'd really rather like to keep a hive at some point.
I too used to be afraid of bees but since learning they die if they sting you I'm happy to be around them.
Oh wait, Wikipedia says bumblebees can sting more than once. ...meh. I'm not even afraid of wasps that much anymore, though I will try to shoo one out the window if it's in my room.
Bumble bees are very relaxed compared to other bees. I've picked them up in my hand before and they'll not attack. People do it often enough when identifying and recording them, usually with a small see-through tube of some sort to hold it steady while they block the other end.
Never had one sting or turn on me upon release.
Wouldn't try it with a wasp though. Especially when they get grumpy in winter.