Really? All funerals I've been to have been either in a church or the Crematorium chapel. And a baptism surely has to be a religious event by definition.
Sure but with the steep and continuing decline of church attendance it has become fairly rare for children to be baptised.
I have not been to a baptism anywhere but a church. The last one I went to though was last century ....
None of the last 4 weddings was at a church.
All funerals have been at a church or Crematorium chapel and I have not heard of one held anywhere else. If to be a burial at a cemetery without a church or building maybe the service could be at any room hired for an hour or so ?
Two at a Crematorium chapel were lead by a non-religious celebrant not a vicar / minister or any faith. I don't recall any congregation singing either just songs / music chosen by the family or if planned maybe the deceased person.