I don't know if it's been done before, but I'm not a big fan of France, so I changed the timeline around a bit...
1871 - Germany United
1871-1900 - Germany signs treaty with England, not Austria-Hungary for defense.
1897 - Austria-Hungary, Serbia, and Bohemia sign treaty. France eventually signs as well.
1914-1919 - World War I - France, Russia, Ottomans form Central Powers against UK, Germany, US. France conquers Germany to the Rhine, Bohemia into Bavaria and Silesien. Poland enters Central Powers by 1917.
1919 - Treaty of Versailles - France cedes claims to Alsace-Lorraine, Bohemia to the Sudetenland, and all Poles are removed from Posen and other German states. Ottoman Empire dissassembled, and Greece is given back Constantinople and the western portion of Turkey as they held in 1263.
1919-1929 - France struck by war debt and failure of several governments. Austria punished as well, but a charismatic young Austrian, Adolf Hitler, unites the broken land, promising better times. The Turks, embittered by Christians in 'their' land, ignore Attaturk, who flees to Greece. They become more and more extreme.
1929-1932 - Nazi Party in Austria comes to power, with Hitler at its head. Hitler annexes Bavaria against the moderate German government's will.
1932-1939 - Nazis begin infiltrating Germany; UK, US, others ignore as an internal German civil war. By the time Hitler unites Austria with Germany, he has remilitarized the entire German Europe. The elected German government seeks asylum in the UK; Poland and France ally themselves with Austria-Germany and Italy forming the Axis powers with Japan. France conquers Spain, Poland conquers Lithuania and Latvia. By 1939, the two allies in Europe are more vassals to Nazi Germany due to Hitler's brand of racism. French and Polish Nazis are only too glad to agree to his racial policies. Ottomans annex Syria, Lebanon, Israel, Jordan, Greece, and Iraq.
1939 - 1945 - World War II - Nazis have conquered Europe, but the UK, Denmark, Netherlands, Russia, Greece, and US fight and defeat them.
1945 - Peace Treaty - Lithuania, Belarus, Ukraine, and Czechoslovakia get remnants of Poland, and Russia exiles the remaining Poles across Siberia. Germany retains its 1871 borders plus Alsace-Lorraine and Sudetenland. Austria is demilitarized, and claims only the portion of Bohemia immediately adjacent to it. German colonies in Africa remain German. France is broken into Burgundy and France, and Normandy is given to the UK. The Ottomans in Turkey are expelled, and the entirety of Turkey is given back to the Greeks, plus former southern territory once belonging to the Byzantine Empire, what we would call Syria, Lebanon, Israel, and Jordan.
1948 - under the UN, the nation of Israel is created, in alliance to the Greek state, now called Byzantium.
1949 - final expulsion of Turks and Arabs from Byzantine lands. Middle East is redrawn, divided from Africa by the Byzantine state.
There you go. You get Byzantium and a unified Germany all in one timeline. And France gets a smackdown. If you've got corrections, please let me know. I'll try to post a map sometime soon.
James