Here is the full list of all 20 Home Run Solitaire achievements.
Complete the Game
Use the Lightning Bat 40 times
Complete 16 Levels
Achieve 100 Perfects
Get a Combo of 20 Cards
Use the Big Hand 40 times
Complete 12 Levels
Use the Soda Can 40 times
Complete 8 Levels
Achieve 50 Perfects
Get a Combo of 15 Cards
Complete 4 Levels
Achieve 25 Perfects
Earn 30000 Cash
Earn 22000 Cash
Achieve 10 Perfects
Earn 15000 Cash
Get a Combo of 10 Cards
Earn 5000 Cash
Get a Combo of 5 Cards