There are a range of benefits available for those with no income, low income, or other exceptional needs. Whilst these aren't specifically tailored towards the current cost of living crisis, it is worth looking into whether or not you may be eligible to claim some of these state benefits. The easiest way to check your eligibility is through a third-party benefits calculator. The GOV.UK website lists the three most popular ones, which are:
Policy in Practice's betteroff Calculator
These calculators will ask you for information about yourself and your circumstances and will then use your answers to signpost you to any benefits you might be eligible for.
Help to Claim
Applying for benefits can be a complicated process, especially if you struggle with understanding large amounts of complex information. If you think that you will need some support with the actual application process, have a look at Citizen Advice's Help to Claim service. Their advisors can help you understand what you're eligible for and fill out the forms properly.
Universal Credit
Universal Credit is the government's main benefit to help those not in work or on a low income with living costs. It replaced a variety of benefits, including income-based Jobseeker's Allowance, the income-related Employment and Support Allowance, Income Support, and a few others. If you're on a low income, out of work, or unable to work, you may be eligible for Universal Credit.
Find out more about Universal Credit, including any benefits that it's replacing, here.
Apply online for Universal Credit here.