If what you are looking for is in short supply you need to be more proactive. Put together your proof of funds, mortgage in principle docs etc, go round to all your local estate agents in person, introduce yourself and ask them to let you know when things come on the market. Then phone them every week to remind them of you.
To give you an idea of how it works, we had 2 valuations on a Friday morning, and gave one of the two estate agents the go ahead on Friday afternoon. We asked that we would not go on the market or do viewings until Monday as we wanted a couple of days to clear out some stuff, put away personal items etc.
The estate agent asked if they could come round on the Saturday morning to take photos, do a floor plan and the energy certificate. We agreed and cleared off for a couple of hours. They phoned us and asked if while they were there, they could let a couple of buyers have a quick look through the front door, just to get an idea of size, as they were showing them other properties in the area, we said ok but not proper viewings till monday.
On Monday morning the estate agent phoned at 9:30am with three different asking price offers, all with proof of funds. We accepted the one with the biggest deposit, as advised by the EA. The property went on right move etc as already under offer.
We had someone ring our doorbell about 4 days later in tears, they had apparently wanted to live on our road for many years (all houses except for 2 houses split into flats so very rare for a flat to come on the market) and by the time they'd seen it come up we'd accepted an offer.