Vietnam: French colonization of Vietnam began in the mid-19th century, with the establishment of the French colony of Cochinchina in 1862. France gradually expanded its control over the region, eventually establishing the protectorates of Annam and Tonkin in 1883. French Indochina, which included Vietnam, Cambodia, and Laos, was a major part of the French colonial empire until the mid-20th century.
Cambodia: Cambodia became part of French Indochina in 1863, following a series of French military interventions. French rule in Cambodia lasted until 1953 when Cambodia gained independence. During this period, the French had a significant influence on Cambodian culture and politics.
Laos: French colonization of Laos began in the late 19th century, with the establishment of the French protectorate of Luang Prabang in 1893. Laos became part of French Indochina in 1899. French rule in Laos lasted until 1953, when Laos gained independence.
India (Puducherry): The city of Puducherry (formerly known as Pondicherry) and a few other small enclaves in India were under French rule from the 18th to the 20th centuries. These territories were collectively known as the French Establishments in India. They were formally transferred to India in 1954.
China (Guangzhou): France, along with several other European powers, had concessions in Guangzhou during the late 19th and early 20th centuries. The French concession in Guangzhou was established in 1898 and lasted until 1946 when it was returned to China.
These are some prominent examples of places in Asia that were invaded or under French influence during different historical periods.