I’ve just bought a new bike but my current insurers, Axa only cover up to £1k so had to search for a new policy. Went with Churchill who cover bikes for an unlimited amount whilst at home / shed / garage. Searching through loads of other policies, this seems quite unusual. The premium was the same as my old policy, so a pretty good deal.
They can cover bikes away from home for an extra sum but only up to £2k. If you have an expensive bike that you don’t let out of you sight when out though, it could save you a few quid.