wgeoff

Yes, the second bird looks like a Red-breasted Flycatcher.
The bill is less dark with a pale underside nearest to the head. The tones in the plumage are less grey.
But the best distinction between these species is in the call - Red-throated has a harsh and fast rattle, Red-breasted is softer and slower with each note distinct.

Can you tell us where and when these photos were taken please?