Hi
In order to arrange the necessary cover you need to have a list of the items that you are expected to arrange Insurance for and the current replacement values. The landlord cannot expect you to arrange cover without these details. My experience of dealing with normal insurance is that you cannot normally insure items you don't own.. The landlord will normally arrange cover for their own possessions e.g white goods, free standing storage cupboards etc and of course the landlord will also insure the Building including its attached fittings and fixtures.
There is however on most Contents Insurances you take out for your own possessions, a tennants liability cover for damage that may occur to the building. The following is a specimen and fairly standard. Check your own Contents Insurance policy. It really only covers basic perils and not accidental damage. Your shorthold tenancy agreement should state what responsibilty you have to put right any damage you cause.
3 Tenants liability
We will pay all amounts you become legally liable to pay, as a tenant
of your home, for damage caused to the buildings during the period of
insurance shown in the schedule, by any cause covered by paragraphs
A, B1, B2 and B3 of section 1 of this policy.
For any claim resulting from one incident, we will not pay more than
20% of the total sum insured by this section.
If you really have to cover your landlords Contents you can phone BIBA who are akin to the yellow pages of the Insurance industry. http://www.biba.org.uk/ . Telephone 0870 950 1790.
Huckster