Here are some popular carnatic compositions on Ganesha. I had a hard time picking them as almost every composer has composed songs praising the elephant-faced deity. Do share your favourite songs on Ganesha!
1. Muthuswami Dikshithar – Vathapi Ganapathim – Hamsadhvani – Adi
2. Muthuswami Dikshithar – Siddhi Vinayakam – Shanmukhapriya (Chamaram) – Rupakam
3. Tyagaraja – Sri Ganapatini – Saurashtram – Adi
4. Tyagaraja – Giriraja Suta – Bangala – Deshaadi
5. Swati Tirunal – Pari Paahi Ganadhipa – Saveri – Adi
6. Oothakaadu Venkatasubba Iyer – Sri Vignarajam Bhaje – Gambeeranattai – Kanta Chapu
7. Purandaradasa – Sharanu Benakane – Hamsadhvani – Misra Chapu
8. Papanasam Sivan – Shri Ganesha Charanam – Tilang – Adi
9. Jayachamarajendra Wodeyar – Shri Maha Ganapathim – Atana – Adi
For a more detailed list of songs on Ganesha in different languages and composers click here