The most awarded musician

National Film Awards (India)
1993 - National Film Award for Best Music Direction - Roja
1997 - National Film Award for Best Music Direction - Minsaara Kanavu
2002 - National Film Award for Best Music Direction - Lagaan
2003 - National Film Award for Best Music Direction - Kannathil Muthamittal
Filmfare Awards (India)
1995 - Filmfare Best Music Director Award - Rangeela
1998 - Filmfare Best Music Director Award - Dil Se
1999 - Filmfare Best Music Director Award - Taal
2001 - Filmfare Best Music Director Award - Lagaan
2002 - Filmfare Best Music Director Award - Saathiya
2002 - Filmfare Best Background Score - The Legend of Bhagat Singh
2004 - Filmfare Best Background Score - Swades
2006 - Filmfare Best Music Director Award - Rang de Basanti
He also won a "Filmfare R D Burman Music Debutant Award" for Roja's dubbed Hindi version.
South Indian Filmfare Awards
1993 - Best Music - Roja
1994 - Best Music - Gentleman
1995 - Best Music - Kadhalan
1996 - Best Music - Bombay
1997 - Best Music - Kadhal Desam
1998 - Best Music - Minsaara Kanavu
1999 - Best Music - Jeans
2000 - Best Music - Mudhalvan
2001 - Best Music - Alaipayuthey
2006 - Best Music - Sillunu Oru Kadhal
Tamil Nadu State Film Awards
1993 - Best Music - Roja
1994 - Best Music - Gentleman
1995 - Best Music - Kadhalan
1996 - Best Music - Bombay
1997 - Best Music - Minsaara Kanavu
2000 - Best Music - Sangamam
Zee Cine Awards (India)
2000 - ** 2002 - Zee Cine Award Best Music Director - Lagaan
2006 - Zee Cine Award Best Music Director - Rang De Basanti
GIFA Awards (Malaysia)
2006 - GIFA Award for Best Music - Rang De Basanti
2006 - GIFA Award for Best Background Music - Rang De Basanti
IIFA Awards (UK/South Africa/Malaysia/Yorkshire)
2007 - IIFA Best Music Direction - Rang De Basanti
2002 - IIFA Best Music Direction - Lagaan
2003 - IIFA Best Music Direction - Saathiya
2000 - IIFA Best Music Direction - Taal
Star Screen Awards
2002 - Best Background Music
Swaralaya Yesudas Award (India)
2006 - Swaralaya-Kairali-Yesudas Award for outstanding performance in music field
2000 - Padma Shri (India)

Please leave a comment on this post if I have missed any in the list, and in case the list continues to add and I forgot to add.