Fritz Haber, the Veritasium video about him is fascinating (The Man who Killed Milioms and Saved Bilions). He developed the chemical process to efficiently synthesize ammonia, one of the key discoveries that allowed mass adoption of fertilizers and the incredibly rapid growth of the human population in the 20th century (you could say that thanks to him, bilions of people could live and be fed by modern agriculture).
Tragically, he also had a fundamental role in developing chemical weapons during WWI, although he belived their use would reduce the number of deaths as army would simply avoid gassed zones, so who knows if he really intended and believed in the milions of deaths he caused. Ironically, he also helped developing Zyklon B during the rise of nazism (while it was still used as a pesticide), but was quickly forced to flee from Germany because of jewish origin. Later, his last invention would be used to kill even more people.
Norman borlaug and Fritz Haber. The first was basically the father of modern agriculture helping feed over a billion people. The latter known as the man that saved billions and killed millions, helped develop the haber bosch process that produces ammonia used in fertillizers that are responsible for feeding half the world's population. It was also used in explosives hence the "killed millions" part.
Politicians and kings rarely do something they weren't forced to, and inventors are rarely without competition, so I take issue with most of the responses here.
Instead, I'll go with naval officer Vasily Arkhipov, who, if he had decided to agree with the normal officers of the submarine he happened to be on, would have started a hot Cold War on 27 October, 1962.
Then again, there was a separate, slightly less severe close call the same day, so if you butterfly that who knows what else happens. It was a crazy time where few understood nuclear diplomacy and cold warfare, but nukes were ubiquitous, and were being treated like normal weapons. We got lucky.
So many different people had small impacts on humanity, most of it somewhat regional. Most of the heroes I could think of in Western countries will have had a very limited impact on Eastern history, and vice versa. Also, I am very sure nobody had only positive impact.
Another problem: not everybody will rate a certain impact equally as positive.
I'd suggest to remove focus and attention from god- or hero-like figures and shift it towards improvements won by community action.
Mathematicians, Physicists, Scientists, and Astronomers: Good effort everyone. The foundation of a rational world.
Very Notable Mentions:
Chemist: Fritz Haber. 1/3 of world food production today can be attributed to his discovery. Also an enormous negative impact, see German Chemical Warfare.
Biologist: Gregor Mendel. Monk who discovered the basis for genetics.
Ecologist: Charles Darwin. Discovered the theory of evolution.
Philosopher: Socrates. Critical Thinking.
Computers: Charles Babbage, Ada Lovelace, and Alan Turing. See empowerment of computation and relegating ridiculously complex math and data collection to machines.
Computer Networking: J. C. R. Licklider, DARPA, and Tim Berners-Lee. See Internet and I/O on a global scale. Both positive and negative.
Finally, the largest net positive of all: Artists. Yes, artists. Popularity as the prime determinant by nature of their work. For inspiration, desire, meaning, peace, community, and emotion. The language of all, an instinctive form of communication.
My visual pick is Leonardo da Vinci as both a practical and artistic contributor. As for classical, it's nearly impossible to pick, but I'd say Beethoven and then Bach.
I believe many great human beings have existed throughout history, but the impact they cause is often limited by their circumstances. For example, there have been thinkers defending compassion towards human beings and animals in possibly every culture, but those sages live and die admired yet misunderstood. Their lives are seen as "extraordinary", and thus, not attainable for normal people like us. We give up on following them since the start, instead of trying to achieve their wisdom or understanding...
Anyway, by mere impact, I guess Socrates, Plato, and Immanuel Kant are on the top for me. The first ones were influential in the development of many branches of knowledge, and solidified a tradition of critical thinking since antiquity. Immanuel Kant is kind of recent, but I'd say his works were really important for discussions around philosophy, science, arts, religion, and more. I admire Immanuel Kant greatly. I was recently reading a little text he wrote about psychiatric disorders and he was predicting modern paradigms in the 18th century. He was such a brilliant and knowledgeable person.
There are also incredible inventions and discoveries that have helped us all, but often those are the results of collective efforts. Still, as I said before, amazing human beings the ones that gave and still give these things for free. Getting personal again, I wouldn't be alive without many of those advances (vaccines, medications, etc.). On the technological side, the founder of that website that unlocks academic papers has had an impact that is yet to be analyzed.
Jesus Christ. Lived the life we should have lived and died the death that we deserve. Just so we can go and live with Him. No love is greater than that.
James Color and Samantha Colour respectively, they invented color in their respective regions, before then the world was in black and white. Similar to Sandy Loam, very little is known about their personal life, or even what they look like. Hell, even their first names are up in the air.
Jesus, Mahatma Gandhi, and The Buddha all had profound impacts on the way that humans relate to each other, and the world around them. Each promoted non-violence and/or pacifism in a world ruled by ruthlessness and cruelty. I don't think we would be anywhere close to where we are now with human rights without their contributions to human understanding of empathy.