1878 · Sofia (City) — After the Turkish population had left, Russian forces entered on 3 January 1878; in 1879 the city became the capital of the Principality of Bulgaria.
5 January
1809 · Çanakkale (City) — On 5 January 1809 the Treaty of the Dardanelles, regulating warships' passage through the Straits, was signed here.
1922 · Adana (City) — After popular resistance and the 1921 Treaty of Ankara the French left the city on 5 January 1922.
6 January
1392 · Skopje (City) — According to Western sources the city came under Ottoman rule on 6 January 1392.
1699 · Treaty of Karlowitz (Treaty) — Dutch Republic (mediators), Kingdom of England (mediators), Ottoman Empire, Holy Roman Empire, Poland–Lithuania, Republic of Venice, Papal …
31 January
1878 · Erzurum (City) — Never taken by force, the city was handed to the Russians under the Armistice of Adrianople on 31 January 1878 and evacuated after the Treaty of Berlin.
Dates are given as in the sources; dates before 1582 are mostly Julian. Event dates come from Wikipedia infoboxes, city events from the city articles of the TDV Encyclopedia of Islam.