How many?
So the conclusion -- not "assumption" -- that birds came from dinosaurs seems reasonable and warranted.
Nah, I think assumption is the right word here.
130-Million-Year-Old Fossil from China is the Oldest Relative of Today's Birds
I would say, "all of them" since every fossil, without exception, is "transitional" between its ancestors and descendants, if any.
But this link lists seven transitional fossils, including archaeopteryx.
This illustration shows four pre-bird dinosaurs before we even reach the first bird.
And here is a more complete diagram:
DouglasKC: "Nah, I think assumption is the right word here."
The difference between "assumption" and "conclusion" is that conclusions can and sometimes do change with new evidence and better ideas.
Conclusions are reviewed & debated based on acknowledged facts, and that has certainly been the case with bird evolution.
So they are conclusions, albeit based on key assumptions underlying all of natural-science: 1) only natural explanations for natural processes and 2) processes we see today worked the same in Deep Time.