The search bar could be more efficient in the way that results are ordered.
For example, if I search a prop- or lan- reference number, it shows results for partial hits first, e.g. a search for lan-1234 will show an arbitrary landlord with 1234 in their address or whatever, with the exact lan-1234 hit being much further down the results.
Another example is when searching tenancies, the most useful hit is obviously going to be the current, most recent and future tenancy. However often I find that the order displayed is most recent ended tenancy, then old tenancies, with current/new tenancy being well down the list.
Making the order a bit more 'intelligent' with improvements that are obvious to the human eye would make search a lot more efficient to use.