I don't think you're anywhere near more likely to be killed in a house fire today. Fires are much less common, owing to much fewer naked flames (for heat and light) and much less fuel lying around to sustain them. And even when the fire does happen, modern houses are much less flammable (less wood is used, and the wood that is used is often treated, carpets, drapes, furniture etc is made from flame retardant materials) so fires spread more slowly. Also, smoke alarms will help you discover the fire in time and get out, which you can generally do, because modern building codes ensure multiple exits.
I'm pretty sure something similar is true for stairwell falls and drownings would probably be tempered by the prevalence of lifeguards in popular swimming spots, and signage warning of particular dangerous areas.
I heard that in ancient Moscow, house fires were so frequent, that there were markets of pre-half-built houses for sale outside the town. They weren't that expensive (wood was cheap), wo that if your house was burnt it was not really that big of a deal (still big, but not the end of the life).
The biggest threat was massive blaze. If some house caught a fire, no one would be putting it out, instead, everyone would be breaking other nearby houses, to contain the fire.
“May 2014. House fires were comparatively less deadly in the sixteenth century than they are today. Even conflagrations that consumed whole neighbourhoods claimed few victims, for wooden houses burnt readily but slowly and few had many storeys.”
What I assumed they meant is that while your cause of death is less likely to be a building fire, in the event of a building fire you may be more likely to be killed. That is, the absolute probability has gone down, but the conditional probability has gone up. I dunno about the truth of it, but I found it an interesting thing to consider.
I'm pretty sure something similar is true for stairwell falls and drownings would probably be tempered by the prevalence of lifeguards in popular swimming spots, and signage warning of particular dangerous areas.