Cooperative do home and business insurance but can have very competitive for younger driver car insurance. See the Motoring section
Interestingly Direct Line can very competitive and are not available on the comparison websites - which take substantial commissions for providing their service.
Nationwide don't just do banking but have a full range of insurance services worth consdering.
The NFU do lots of home insurance. We have found them excellent. They also they do a whole range of risks including motor insurance which is very well worth a look.