Now, there are some other benefits such as, Contribution Based Jobseeker's Allowance, Housing Benefit and Council Tax benefit which although may technically be claimed under certain very specific conditions,
I would strongly suggest not to make any claims unless you are 100% certain of the appropriate legislation and can secure written confirmation of such from the legal teams of each concerned department.
In other words, even though it's technically possible (with knowledge of the legislation) it's safer to leave well alone until you have your hands on that ILR