Quinn can solo baron!!

'nuf said.
Before baron died -
AD: 415
AP: 30
AS: 2.09
LS: 12%
easy to do when you crit for between 400 and 700 every 3 shots.

Corki can also do this. He leaves with a bit less health but it's doable.

I had similar stats when I did this:

Around 435 AD
60 AP
1.56 AS
27 % lifesteal
and some crit chance.

Crits + Lifesteal = OP

Another thing that I found very interesting is that Lucian can also solo baron. It is very difficult however as he has to constantly keep moving and shooting.

Stats: About 400 AD
170 AP
1.65 AS
about 60% lifesteal
37% crit chance.

Through this, I actually found that you can stack bloodthirsters. They have a passive but it is not a unique passive. So 6 charged bloodthirsters could give you + 72% lifesteal and +600 AD.

I don't think it'd be a good idea to stack bloodthirster unless you were in a push to own scenario and had the opportunity to fill the stacks along the push before the enemies spawned. If it was to be done it'd be swapped from a rather expensive full build with a champ where crit chance or attack speed isn't quite as important as straight damage. As a champ like Quinn or Ashe I'd rather stack 5 infinity edge and a phantom dancer or static shiv. Of course simply to solo baron it's viable assuming that you dot get ganked mid fight and your team doest drop like flies.

Can't a lot of champions solo baron?
If built right, Tryndamere can do it easily.
Or are we talking Range champs only?

Actually just about any champion can solo baron if built right. You need to build crit chance, some damage, and lifesteal. Anything else is pretty moot. Because of this however, casters will have a very hard time of it assuming they didnt just say "Screw the meta, im going to build damage so i can solo baron". I think ranged champions soloing baron are a bit more impressive since they usually end up having lower movement speeds and a lot less health. Meele champs as a whole have a bit more hp and end up being faster (base move speed only). You can post any pics you want. I think this will become the thread for your awesome solo baron kill. (lotta text I know   )