I was reading the news. Someone said the following about the Catholic Church…
“Lest We Forget this is the same Church that burned and stoned people to death for opposing the Church’s teachings of the earth being flat and people accused of being witches.”
Now I was always of the mind that it was the protestants who were into burning witches. Am I wrong?

Help me here folks.
One of the parts of the statement you quoted is absurd, but you’re going after the wrong one.
The idea that only Protestants burned witches is an unfortunate myth which has spread among Catholic apologists. It derives from the fact that the Spanish and Roman Inquisitions in the sixteenth century were relatively restrained in their dealings with accusations of witchcraft. I believe that these Inquisitions
did hand over some witches for burning, although the vast majority of offenders recanted and were punished in lesser ways.
There was a wave of witchcraft persecutions before the Reformation (the infamous
Malleus Maleficarum was written by two Dominican inquisitors in the late 15th century, though it wasn’t nearly as influential as people often claim), and in the larger and more vicious post-Reformation wave of persecutions Catholics and Protestants seem to have participated with equal fervor. The Catholics who participated, however, were mostly from France and Germany (I think there were also a number of cases on Poland), not from Spain and Italy. Hence, as I said, the misunderstanding that “Catholics did not burn witches.”
The claim as you quoted it is still misleading and unfair to Catholicism, because it doesn’t take into account the centuries during which the Church insisted (against popular superstition) that witches had no power and should not be feared, and generally because it lacks any understanding of the historical context.
The really outrageous claim you quoted, however, is that the Church executed people for not believing in a flat earth. One early medieval theologian, St. Virgil of Salzburg, was threatened with excommunication for believing that there were people in the Southern Hemisphere (this was considered unorthodox because everyone thought the equator was impassable; hence, such people would not be descended from Adam and Eve). However, he was not excommunicated as far as I know, let alone executed; the controversy did not concern the shape of the earth per se (as far as I know, contra Daniel Boorstin, it was perfectly orthodox to say that the world was round but that there were no living people in the Southern Hemisphere, which is the view you find in Dante); and he was eventually canonized by the Church!
The Church never taught that the world was flat, let alone executing anyone for denying it.
Jeffrey Burton Russell has an excellent book on the subject, called
Inventing the Flat Earth.
Edwin