France's entry in 2009, Et s'il fallait le faire by Patricia Kaas. Only one person on stage, hardly any light or stage show, just 2 minutes and 45 seconds of singing followed by a tiny bit of dancing. Listen to the audience reactions.
For context, Finland doesn't exactly have the best track record when it comes to Eurovision and the popular opinion among Finns was that "Hell will freeze over before Finland wins ESC." Cue the Flying Pigs when Lordi's votes got counted.
The butterflies used to show each country's flag 2013 were beautifully made and just plain epic; they would fly in, land were the country's flag should be right before the country performed their song, and fly away off-screen.
The butterflies were also used to present which countries that qualified for the final. There would be a shadow resembling a butterfly, and when a country was revealed, the country's butterfly would appear on that spot. Just see itfor yourself.
2014's winner, Gender Bender and The CutieConchita Wurst, using her victory moment to deliver a short but powerful speech — “This night is dedicated to everyone who believes in a future of peace and freedom. You know who you are — we are unity and we are unstoppable.”
Even before Conchita Wurst, 1998 winner Dana International. At the time of her entry of the contest, there had been no (out) LGBT representatives to the contest before, making her, a transgender woman, a landmark. When she won on the final vote, it suddenly became all the more evident that the LGBT community and Eurovision went hand in hand, and her victory allowed for more LGBT contestants to enter in the years to come.
Actually, there had been LGBT artists representing in Eurovision for years and years before Dana came around, but they all performed without any hints of their sexuality. The first time a sexual minority was visible onstage was Norway's 1986 entry "Romeo" by Ketil Stokkan, where a drag queen from a local troupe performed backup dancing.