I have compiled a list of UK LLM groups on lawyrs.net including signup links for those who haven't joined the lawyrs network yet. I have also listed some non-LLM groups, which I thought could be useful for other LLM-Guide users. If you find other interesting groups, please post them below!
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LLM Groups:

LLM-Guide Group (66 members)
www.lawyrs.net/groups/6/llm-guide
Signup link: www.lawyrs.net/llmguide/6

NYU@NUS Class of 2009 (29 members)
www.lawyrs.net/groups/35/nyunus-class-of-2009
Signup link: www.lawyrs.net/llmguide/35

NUS LLM 2009 (25 members)
www.lawyrs.net/groups/42/nus-llm-2009
Signup link: www.lawyrs.net/llmguide/42

International Business Law @ NUS Class of 2009 in Singapore and Shanghai (6 members)
www.lawyrs.net/groups/70/international-business-la…
Signup link: www.lawyrs.net/llmguide/70

Melbourne LLM ( 2 members)
www.lawyrs.net/groups/44/melbourne-law-school
Signup link: www.lawyrs.net/llmguide/44

Other groups:

Law Firm Networking
www.lawyrs.net/groups/66/law-firm-networking
Signup link: www.lawyrs.net/llmguide/66

In-House Lawyers
www.lawyrs.net/groups/54/in-house
Signup link: www.lawyrs.net/llmguide/54

Tax Consultants
www.lawyrs.net/groups/19/tax-consultants
Signup link: www.lawyrs.net/llmguide/19

Criminal Lawyers
www.lawyrs.net/groups/15/criminal-lawyers
Signup link: www.lawyrs.net/llmguide/15

Intellectual Property Law Group
www.lawyrs.net/groups/21/intellectual-property
Signup link: www.lawyrs.net/llmguide/21

Human Rights
www.lawyrs.net/groups/14/human-rights
Signup link: www.lawyrs.net/llmguide/14

WTO Law
www.lawyrs.net/groups/49/wto-law
Signup link: www.lawyrs.net/llmguide/49

WTO and Environment
www.lawyrs.net/groups/50/wto-and-environment
Signup link: www.lawyrs.net/llmguide/50

Lawyers’community in China
www.lawyrs.net/groups/51/lawyers-community-in-chin………
Signup link: www.lawyrs.net/llmguide/51

Pakistani Lawyers
www.lawyrs.net/groups/45/pakistani-lawyers
Signup link: www.lawyrs.net/llmguide/45

I can’t believe it’s a law firm – Fans of Lionel Hutz
www.lawyrs.net/groups/48/i-cant-believe-its-a-law-………
Signup link: www.lawyrs.net/llmguide/48

Hello, there is a group for Indian lawyers: http://www.lawyrs.net/llmguide/76 ...Please join!