Bhaadrapad Krishn Shashthee - Akshaya Shashthee Vrat
should be done on Bhaadrapad Krishn Shashthee (6th Day), and it can be done on Maargsheersh Krishn Shashthee (6th Day) also. By keeping complete fast on this Akshaya Shashthee for 1 year, one can attain both pleasures and Moksh.
[Agni Puraan, 20]

Maargsheersh Krishn Shashthee - Soorya Shashthee
One should do A-Yaachit fast today. Rishi eat in the morning, Pitar eat in the afternoon, Guhyak eat in the evening (Sandhyaa time), so a Soorya Vratee should eat only at Sandhyaa time. One should start this Vrat from Maargshersh Krishn Shashthee and follow it for 12 months with Soorya's different names. In the end feed Braahman Kheer and donate gold.
[ Bhavishya Puraan, 1/20]

Kaarttik Krishn Shashthee - Skand Shashthee Vrat
If one eats only fruits on Kaarttik Krishn Shashthee (6th Day) and offer Arghya to Kaarttikeya Bhagavaan, he attains both pleasures and Moksh.
[Agni Puraan, 20]