Indo-Iranian Branch:
* Indic Languages: Hindi, Urdu, Bengali, Marathi, Gujarati, Punjabi, Nepali, Sinhala
* Iranian Languages: Persian, Pashto, Kurdish, Tajik
Italic Branch:
* Romance Languages: Spanish, Portuguese, French, Italian, Romanian, Catalan
* Extinct Languages: Latin
Germanic Branch:
* West Germanic: English, German, Dutch, Afrikaans, Yiddish
* North Germanic: Swedish, Norwegian, Danish, Icelandic, Faroese
* East Germanic: Extinct languages like Gothic
Balto-Slavic Branch:
* Baltic Languages: Lithuanian, Latvian
* Slavic Languages: Russian, Ukrainian, Polish, Czech, Slovak, Bulgarian, Serbian, Croatian, Slovene, Belarusian
Greek Branch:
* Greek (Modern and Ancient)
Celtic Branch:
* Insular Celtic: Irish, Scottish Gaelic, Welsh, Manx
* Continental Celtic: Extinct languages like Gaulish
Other Branches:
* Armenian: Armenian
* Albanian: Albanian
* Tocharian: Extinct languages spoken in Central Asia
* Hittite: Extinct language spoken in Anatolia
Note: This is not an exhaustive list, and there are many other languages and dialects within these branches. The Indo-European family is constantly evolving, and language classifications can be debated.
It is important to note that while these languages are part of the same family, they are not mutually intelligible. This means that speakers of different Indo-European languages generally cannot understand each other. However, they share common origins and have a number of similarities in their grammar and vocabulary.