Here is the full list of all 8 Season Match achievements. It takes around 6-8 hours to unlock all of the achievements on Windows.
Complete the Arcade mode.
Find all of the mirror shards to receive a reward from the Snow Queen.
Complete the second episode of the Quest.
Earn 50 coins.
Destroy 50 or more gems with one tap.
Destroy more than 10 gems with one tap.
Complete a level in 40% of the allotted time.
100% successful taps on a level.