Bitcoin Mine is one of my favourite Bitcoin Faucets. It is part of the Faucet Gaming Network. It is a no-nonsense faucet that award 50 satoshi every 13 minutes and requires only a single SolveMedia Captcha without any redirects. You only need to ensure the Captcha is refreshed before each claim if you leave the window open. It is also possible to upgrade your collection rate by purchasing more "mining" power, but I have yet to try this as it seems expensive, so I have stuck with the basic level which is free. You can find Bitcoin Mine at the following link:
http://freebtcmine.com/?partner=91755
Withdrawals are made to FaucetHub, so an account will be required. The minimum balance for a withdrawal is 50,000 satoshis.
Bitcoin Mine is a simple faucet that does not waste your time with ads, redirects, or multiple Captchas. The drop down Captchas don't seem to work and will give an error - simply refresh the Captcha until you get one that requires a text entry. Also, ensure not to use Ad Blocking software as you may end up being banned from the site. Overall, this is an excellent faucet.