The question asks about the report submitted by India to the United Nations Framework Convention on Climate Change (UNFCCC) on 30th December 2024. Let's evaluate the options provided:

1. National Green House Gas (GHG): This is a generic term, not a specific report typically submitted to UNFCCC on this date.
2. 4th Biennial Update report (BUR-4): Biennial Update Reports are submitted every two years, but the Third National Communication (TNC) reports are separately identifiable.
3. 3rd National Communication (TNC-3): This is the correct answer. The National Communication (NC) is a report submitted by parties including India to the UNFCCC detailing their climate actions. The third submission aligns with the given date.
4. 5th Emission Gap Report (EGR-5): Emission Gap Reports are typically prepared by UNEP, not individual countries like India.

The correct answer is option 3, 3rd National Communication (TNC-3). India's Third National Communication to the UNFCCC would cover national greenhouse gas inventories, measures for emissions reduction, and climate change impacts.

Hence, the report submitted by India on 30th December 2024 to the UNFCCC was the 3rd National Communication (TNC-3).