Cricket Records for India (Host) in Test+ODI+T20I matches

Matches are generally grouped by series, tour or tournament, with those appearing in an overlapping season (eg: 2002/03) generally starting between October and March, whilst those in the single year season (2002 or 2003) beginning from the start of April and finishing by the end of September.
Records includes the following current or recent matches:

India v England at Dharamsala, ICC World Test Championship 5th Test, Mar 7-9, 2024 [Test # 2534]

India v England at Ranchi, ICC World Test Championship 4th Test, Feb 23-26, 2024 [Test # 2531]

India v England at Rajkot, ICC World Test Championship 3rd Test, Feb 15-18, 2024 [Test # 2530]