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