The first "e-petitions" - which allow the public to prompt parliamentary debates if they get enough support - have been published by the government.
The return of the death penalty heads the list of demands, with dozens of campaigners calling for it.
Other suggestions include leaving the EU, anonymity for rape defendants and limiting jail food to bread and water.
Petitions gaining more than 100,000 signatures could lead to a full debate in the House of Commons.
The government has warned MPs not to "ignore" the public's suggestions.
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