This might sound too much ASB, but... what about Nikola Tesla's inventions?
http://en.wikipedia.org/wiki/Nikola_Tesla
In the first years of the 20th century, he tried to build a radio antenna that could transmit to the whole world, but it failed miserably. If this had happened, perhaps a better coordination between the countries (especially after the League of Nations establishment) could have developed.
Also, his investigations into the wireless transmission of electricity could have, if better investigated, translated into a way to send electricity from the electric power stations to the homes without using any kind of cables (a possible outcome of this is that Chile is poorer than in reality, since they are one of the main producers of copper).
His blade-less turbines could have also been used, and something not many people know is that Tesla had already found about X-rays before Röntgen published his discoveries. His arc lamp could have meant that incandescent lamps (much more consuming than fluorescent lamps, which are low-pressure mercury arc lamps) could have been less used, with the consequent save of money.
He had too some things that could have been used by the military: Tesla Coils as defensive structures (way too much imaginative, and already used in the Command & Conquer: Red Alert series) or VTOL aircraft (this would give the Air part of the army a bigger edge, since they would need smaller spaces for the landing and taking off, and thus the airport bombing that was used in WWII wouldn't have much success), for example.