In 2006 JCWI launched their Regularisation Campaigning 'Recognising Rights - Recognising Political Realities'.
The campaign calls for a well-managed one-off general regularisation for the main irregular groups (refused asylum seekers, overstayers and illegal entrant, inc. trafficked people). Arguing that, if people can demonstrate a seven-year period of residency in the UK then they should be awarded Indefinite Leave to Remain. Additionally, if people can demonstrate a period of residency between two and seven years then they should be eligible for a gateway of temporary leave subsequently leading to permanent stay if they can meet specific criteria outlined in the report.
For a full account of the campaign, download JCWI's Regularisation Report here (PDF). See also our document containing answers about regularisation (PDF)
Other regularisation campaigns:

Migrant Rights Network have recently released a publication, 'Irregular Migration: the urgent need for a new approach'.
The publication draws together research findings to present concise, evidenced information about pathways to irregularity as well as the impact of UK enforcement policy and the available evidence on regularisation programmes.
For a copy of this publication, visit:
www.migrantsrights.org.uk

London Citizens are currently running a campaign calling for a one-off regularisation of long-term irregular migrant in the UK.
For more information about their campaign, visit:
www.strangersintocitizens.org.uk
The Mayor of London and Migrant Regularisation
The Mayor of London’s office has recently published a report entitled, 'Economic impact on the London and the UK economy of an earned regularisation or irregular migrants to the UK'.
The report argues that regularising migrants could lead to higher levels of national output to the extent that it enables a greater proportion of irregular residents to work estimates that such a scheme could add £3 billion per annum to GDP.
For more information and a copy of the report, visit:
http://www.london.gov.uk/mayor/business-economy/publications/irregular-migrants.jsp