Here is the full list of all 50 Aeolis Tournament achievements.
Buy all the rewards from the shop included in the base game
Win a Tournament with each of the 6 characters included in the base game
Win or be the MVP of each game in a Tournament of at least 5 games
Win a game despite having 5 friendly-KOs with your character (Time Rule)
Get 15 KOs in a game of 2 minutes or less (Time Rule)
Get 10 total matches MVP across any number of games
Have 0 Falls in a game of at least 2 minutes (Time Rule)
Win each game mode at least once on Hard difficulty with at least 4 participants
Be named the MVP in each team game mode at least once
KO all opposing team players at the same time in a game on Hard difficulty with at least 8 participants
Get a KO only by pushing with your air blaster (No bombs or rubble)
Score 99 total goals across any number of games
Score 5 total goals by pushing another player on the puck across any number of games
Get 3 assists on Hard Difficulty in a game of 2 minutes or less with at least 6 participants (Time Rule)
Hit the opposite team's posts a total of 15 times across any number of games
Get 3 saves and don’t allow a goal in a game of 2 minutes or more with at least 6 participants (Time Rule)
Score 3 goals on Hard Difficulty in a game of 2 minutes or less with at least 6 participants (Time Rule)
Get 500 Total Points across any number of games
Finish last with at least 20 saves in a game of at least 6 participants (Time Rule)
Enter your own base's hole with at least 15 small marbles in a game of 2 minutes or less (Time Rule)
Push every opponents in their own base's hole in a game with at least 6 participants (Time Rule)
Score 100 total goals with your character across any number of games
Win a game on Hard difficulty after trailing by at least 5 goals
Score a goal with a Soccer ball, a Volleyball, a Tennis Ball, a Beach ball, a Football and a Hockey puck in a game
Win a Team game mode with a team of 4 human players
Get a Goal, an Assist and a Save in a game of 2 minutes or less with your character (Time Rule)
Win a game of any game mode without using your Air Blaster Once (Do not press the button)
Earn 10,000 total Aeolis Coins from Achievements and Tournaments. (Includes Aeolis Coins you've spent)
Score at least 10 Goals with your team in a game of 2 minutes or less with your team (Time Rule)
Win a Free-For-All game against only human players with at least 4 participants
Get 500 total KOs across any number of games
Play 30 total games (Quick Game or Tournament games)
Win every round in a game of at least 3 rounds and 6 participants (Points Rule)
Have 0 Falls in a game of 2 minutes or more (Time Rule)
Get 25 KOs in a game of 2 minutes or less (Time Rule)
Reach a KO Streak of 10 during a game (Time Rule)
KO every other player at least once in a game with 8 participants
Get 500 Total Hits across any number of games
Destroy an incoming snowball by throwing your snowball at it a total of 25 times across any number of games
Get Hit 5 times or less in a game of 2 minutes or more (Time Rule)
Get 25 Hits in a game of 2 minutes or less (Time Rule)
Lose a game against 7 other CPU Participants
Win a Quick Game with any settings
Hit every other player at least once in a game with 8 participants
Participate in any kind of online Tournament
Win any kind of online Tournament
Win a game with 0 Saves (Time Rule)
Score by throwing a small marble from far away