You could try this

http://www.makeuseof.com/tag/access-bbc-iplayer-online-video-internationally-free/

All of the Dr. Who Red Button mini episodes did eventually make their way onto the internet.  Some were posted on the BBC's website. 

I understand and respect the model of "exclusive content" for people who can and do pay for it. 

But wooooo hooooooo!!! A mini episode is great and I am looking forward to seeing it real soon.

Anybody think there's any chance they'll put Sherlock in the Advent Calendar at BBC youtube?

http://www.youtube.com/watch?v=YyjhcWDRnyM&list=PLO-wxIy9sHyYhRFlZR9n4EGQW1jBO05uR

Quoting Sherlockology as to the worldwide Sherlock S3 airdate
[i]
With airdates for Sherlock S3 now arriving, we’re repeating our previous post that we created in 2011 to round up worldwide broadcasts for the new series. We’ll be updating this post as new dates and times are revealed, but that’s where YOU come in.

So, here’s how this post works –

1)      If your country is not listed here, the airdate for Sherlock S3 hasn’t been revealed yet.

2)      If you know your countries’ airdate for Sherlock S3, and it isn’t listed here – tell us! And we’ll get it added and reblog the post.

3)      The list below lists the airdates in the order they are broadcast, not by countries in alphabetical order.

So, without further ado…

WORLD PREMIERE SCREENINGS:
December 15 2013 - S3E1: The Empty Hearse – BFI NFT1, Southbank, London. (Sold Out)
January 5 2014 - S3E2: The Sign of Three - Chapter, Market Road, Cardiff (Tickets on sale December 5 at 10:00GMT)
January 8 2014 - S3E3: His last Vow - Princess Anne Theatre, BAFTA, London. (Sold Out to members, Public tickets on sale December 13 at 13:00GMT)

UK – BBC One:
January 1 2014 (21:00GMT) – S3E1: The Empty Hearse
January 5 2014 (Time TBC) – S3E2: The Sign of Three
January 12 2014 (Time TBC) – S3E3: His Last Vow

India - AXN India:
January 3 2014 (10pm IST) – S3E1: The Empty Hearse
January 10 2014 (10pm IST) – S3E2: The Sign of Three
January 17 2014 (10pm IST) – S3E3: His Last Vow

Norway - NRK1:
January 3 2014 (22:10 CET) – S3E1: The Empty Hearse
January 10 2014 (22:10 CET) – S3E2: The Sign of Three
January 17 2014 (22:10 CET) – S3E3: His Last Vow

Belgium - Canvas:
January 4 2014 (Time TBC) – S3E1: The Empty Hearse
January 11 2014 (Time TBC) – S3E2: The Sign of Three
January 18 2014 (Time TBC) – S3E3: His Last Vow

Denmark – DR3:
January 5 2014 (21:00 CET) – S3E1: The Empty Hearse
January 12 2014 (21:00 CET) – S3E2: The Sign of Three
January 19 2014 (21:00 CET) – S3E3: His Last Vow

Spain - TNT Spain:
January 7 2014 (22:30 CET) – S3E1: The Empty Hearse
January 14 2014 (22:30 CET) – S3E2: The Sign of Three
January 21 2014 (22:30 CET) – S3E3: His Last Vow

Poland – BBC Entertainment:
January 12 2014 (22:00 CET) – S3E1: The Empty Hearse
January 19 2014 (22:00 CET) – S3E2: The Sign of Three
January 26 2014 (22:00 CET) – S3E3: His Last Vow

Taiwan - AXN Taiwan:
January 14 2014 (21:00 CST) – S3E1: The Empty Hearse
January 21 2014 (21:00 CST) – S3E2: The Sign of Three
January 28 2014 (21:00 CST) – S3E3: His Last Vow

USA – PBS Masterpiece:
January 19 2014 (10pm ET) - S3E1: The Empty Hearse
January 26 2014 (10pm ET) – S3E2: The Sign of Three
February 2 2014 (10pm ET) – S3E3: His Last Vow

South Africa - BBC Entertainment:
January 24 2014 (20:00 SAST) - S3E1: The Empty Hearse
January 31 2014 (20:00 SAST) – S3E2: The Sign of Three
February 6 2014 (20:00 SAST) – S3E3: His Last Vow

Sweden - SVT:
February 1 2014 (Time TBC) - S3E1: The Empty Hearse
February 8 2014 (Time TBC) – S3E2: The Sign of Three
February 15 2014 (Time TBC) – S3E3: His Last Vow

http://sherlockology.tumblr.com/post/68473172885/series-3-airdate-guide