Fridges and freezers built in recent years contain more plastic than older models, but the highly flammable insulation is not separated from the parts of the appliance where a fire can start, according to an LFB report.
A comparison between the UK and the US, where safety standards are more stringent, found that people in the UK involved in such a fire were more likely to be injured.
Figures for the UK suggested that one in every five fires involving fridges or freezers resulted in someone being injured, compared with one injury for every 25 fires in the US.
There are an average of 336 fires involving fridges or freezers in the UK each year, injuring 69 people.The LFB said it wanted to see tougher safety standards for the flammable insulation.
More top news
Northern Ireland's abortion laws break the EU human rights convention, Belfast High Court has ruled.
Police reopen investigation into brutal murder of David Clarke, 14-years after he was "savagely beaten" to death in his own home.
Flooded in January, farming-driven Malawi ends 2015 facing its worst drought for more than 20 years. And now a slower tragedy is unfolding.