Here is the full list of all 25 Super Volley Blast achievements.
Win the first match in Story Mode
Win the second match in Story Mode
Win the third match in Story Mode
Win the fourth match in Story Mode
Win the fifth match in Story Mode
Win the sixth match in Story Mode
Win the seventh match in Story Mode
Win the seventh match in Story Mode+
Win the seventh match in Story Mode++
Play 1 match in any mode
Play 10 matches in any mode
Play 25 matches in any mode
Play 50 matches in any mode
Save a custom avatar in the avatar editor
Save 5 custom avatars in the avatar editor
Save an opposing match point and win the game
Play a quick match with 2 players in the same team
Play a quick match with at least one human player on each team
Win a quick match with 11 points, 1 set match rules
Win a 16 teams tournament with 21 points, 3 sets, win by 2 points match rules
Win a game in which opponent scores 0 points
Play a set that ends after reaching 25 points
In quick match, play 10 games in a row without going back to main menu
Perform 50 super smashes
Perform 100 blocks