Yellow warnings for wind and rain remain in effect for western Scotland, southern England and Wales, as well as Northern Ireland on Sunday.
There are also hundreds of flood alerts in place in England, Wales and Scotland.
Wind gusts have reached 75mph in coastal areas and up to 65mph inland.
North Wales Police said on Sunday afternoon that a body had been found by officers searching for a man who went missing at the River Conway near Trefriw in Conwy county during the storm on Saturday.
Formal identification has not yet taken place but the family of Brian Perry, 75, have been informed, police said.
Around London, all of the Royal Parks are closed on Sunday due to high winds – including Hyde Park and its popular Winter Wonderland attraction.
The parks’ management said there would be delayed re-openings on Monday following a safety inspection.
Travel disruption to roads and railway lines due to floodwater, high winds and fallen trees continued in some areas on Sunday after similar incidents on Saturday.
Pictures from Tenbury Wells in Worcestershire showed streets submerged in water as the town’s Kyre Brook rose and caused a wall to collapse.
In south Wales, a major incident has been declared by Rhondda Cynon Taf Council after significant flooding. The River Taff has burst its banks in Pontypridd, flooding nearby homes.
The Abercynon Feeder Pipe Footbridge over the river was completely washed away, council leader Andrew Morgan told a news conference on Sunday afternoon.
The bridge was being rebuilt after being badly damaged during Storm Dennis in 2020, which also caused significant flooding to homes and businesses when it hit the area.
Three rest centres have been set up for affected residents. Between 200 and 300 properties – residential and commercial – have been affected by flooding, the council added.
Record river levels were recorded on the River Taff on Saturday night but officials said these levels were now beginning to drop as rain subsides, although residents were still urged to be cautious.
Mr Morgan told reporters he was “amazed” that only a yellow weather warning was issued for the area and said “we were preparing for the possibility of an amber warning”.
Further east, National Resources Wales (NRW) issued two severe flood warnings just after 15:00 GMT on Sunday covering parts of the River Monnow in Monmouthshire.
The warnings are the most serious that can be issued and indicate that “significant risk to life” and disruption is expected from severe flooding.
