Are there any LEGIT sites that offer bitcoins for answering capcha's?
Googling this would get you many such sites, but I must say it will be a big waste of your time. If you have that much time in your hands that you're willing to use captcha sites to earn, its better that you try to post quality posts here on this forum, improve your rank and earn up to 100 dollars a week here.
Not possible at any captcha or faucet sites.