1. Indo-Iranian:
* Indo-Aryan: (Spoken primarily in the Indian subcontinent)
* Hindi, Urdu, Bengali, Marathi, Punjabi, Gujarati, Nepali, Sinhala
* Iranian: (Spoken in Iran, Afghanistan, Central Asia, and other parts of the Middle East)
* Persian (Farsi), Pashto, Kurdish, Tajik, Baluchi
2. Germanic:
* West Germanic:
* English, German, Dutch, Afrikaans, Yiddish
* North Germanic:
* Swedish, Norwegian, Danish, Icelandic, Faroese
* East Germanic: (Extinct)
* Gothic
3. Italic:
* Romance: (Languages descended from Latin)
* Spanish, Portuguese, French, Italian, Romanian, Catalan, Occitan
4. Balto-Slavic:
* Baltic:
* Lithuanian, Latvian
* Slavic:
* East Slavic: Russian, Ukrainian, Belarusian
* West Slavic: Polish, Czech, Slovak
* South Slavic: Bulgarian, Serbian, Croatian, Slovene, Macedonian
5. Hellenic:
* Greek: (Ancient and Modern Greek)
6. Celtic:
* Insular Celtic:
* Gaelic (Irish, Scottish Gaelic), Welsh, Breton
* Continental Celtic: (Extinct)
* Gaulish
7. Anatolian: (Extinct)
* Hittite, Luwian, Lycian
8. Tocharian: (Extinct)
* Tocharian A, Tocharian B
Note:
* This is not an exhaustive list, as there are several smaller branches and extinct languages within the Indo-European family.
* The classification of some branches, particularly within Indo-Iranian and Germanic, is debated among linguists.
* The relative prominence of these branches is based on the number of speakers and geographical distribution.
This information should provide a general overview of the major Indo-European language groups. For deeper exploration, you can research specific branches and languages of interest.