A very interesting topic !!
My Pick:
1.
Gajavadana Sammodita Veera - Todi (A composition of Maharaja Kumara Ettendral, the Chittaiswaram for which is believed to have been composed by Baluswamy Dikshitar. The Different shades of Gamakas of Todi Gandharam is best heard/learnt from this chittaiswaram. Semmangudi Srinivasa Iyer renders the krithi in his inimitable style. One of the gems from Smt. T Brinda's repository.
One can hear to Smt Radha Vishwanathan singing the krithi here :
https://www.youtube.com/watch?v=QrswfcaCI5U. Dont forget to read Cienu Sir's description.
2.
Paripalinchu - Suddha Saveri - Thiruvisainallur Venkatarama Iyer
3.
Amba Paradevate - Rudrapriya - Krishnaswamy Ayya
4.
Nenarunchinanu - Malavi - Thyagarajar (Don't know about the composer of the Chittaiswaram)
5.
Sri Mahaganapathi Avathu Mam - Gowla. Though, to the best of my knowledge it was not composed by Dikshitar, it adds beauty to the brisk gait in which it is rendered. Hope some of our forumites can throw light in the original composer of the Chittaiswarams