Here are some popular Carnatic compositions on Goddess Lakshmi.
- Mahalakshmi – Dikshithar
2. Shri Varalakshmi – Dikshithar
3. Sri Lakshmi Varaham – Dikshithar
4. Mathim Dehi – Vaanamalai Jeer Swamy
5. Bhagyada Lakshmi Baaramma – Purandaradasa
6. Mahalakshmi – Papanasam Sivan
7. Ksheerabdhi Kanyakakku – Annamacharya
8. Varalakshmi – Mysore Vasudevachari
9. Hiranmayim Lakshmim – Dikshithar
Chitra Srikrishna 
Goddess Lakshmi through this link made me to listen and learn abhogi keerthana on Sri Lakshmi Varaham..
Thanks Madam sairam
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Please add mArajananeem ASrayE by Sri Nallanchakravarti Krishnamacharyulu garu. https://www.youtube.com/watch?v=GiYSkGU4ZmY
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The song has been added to the list. Thank you!
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