Oops. sorry I missed the evidence part.
For Our lady of Fatima, there is the miracle of the sun which apparently was even published in news papers. You might be able to find them.
Lourdes on the other hand has the spring that St. Bernadette dug up to this day and is known to have resulted in many miracles all of which are carefully documented and studied by doctors and church representatives before approving them as official miracles. So you can actually access those documents and read about them specifically.
Another Apparition that I heard of recently, but didn’t mention above is Our lady of Akita in Japan. I honestly don’t know much about the miracle but you can find information online for sure.
But these are recent ones. If you take from the history of the church, there are many more. You can find some here
en.wikipedia.org/wiki/Marian_apparition#Historical_feasts