Even in the last parliament there was the attempt to construct the infamous "Bill of Rights" which was struck unceremoniously into the long grass. With the conservative parliamentary majority there still maybe legal and political difficulties in the actual repeal of the act.
A number of groups have swung into action to campaign on this issue. Liberty, one would have thought would be a front runner in this but simply have this in the campaigning section of their website. The British Institute of Human Rights have been active on social media and have been promoting this blog post, but there is little in terms of a real plan. In some ways that understandable when so little details have been published on the actual proposals on abolition.
Swiftly post-election Adam Wagner published this on the exciting new website rightsinfo.org. He advocates engaging with the process of reform and the construction of any bill of rights. However this is hard to do with little clear proposals. I really like Amnesty's "Do the human right thing" campaign but again it seems to be little but collecting email addresses and phone numbers. So far the most constructive thing I have seen is this petition launched yesterday and already gaining over 80,000 signatures.