There are 42 Dragon Ball Z: Kakarot trophies that don't seem to be particularly difficult or time-consuming, and everything seems to indicate that you'll simply have to progress through the story while taking the time to search through the map to collect different collectibles and complete secondary quests, but without needing to be exhaustive. You'll soon be able to find dedicated guides for those that are a little more complex.
Obtain all trophies.
Win the simulation battle against Piccolo.
Complete the Saiyan Saga.
Complete the Frieza Saga.
Complete the Cell Saga.
Complete the Majin Buu Saga.
Complete a sub story.
Complete 10 sub stories.
Defeat your first Villainous party.
Defeat 20 Villainous parties.
Defeat 30 Villainous parties.
Win the battle against Mira.
Receive a telepathic message from King Kai.
Receive 20 telepathic messages from King Kai.
Summon Shenron from the Dragon Ball menu to make a wish.
Summon Shenron 5 times from the Dragon Ball menu to make a wish.
Summon Shenron 10 times from the Dragon Ball menu to make a wish.
Complete 10 challenges at a Training Grounds location with any character.
Complete a Level 10 challenge in the Training Room.
Destroy a boulder blocking a cave.
Destroy 10 boulders blocking caves.
Make a full-course meal.
Make 5 full-course meals.
Collect 10 D Medals.
Collect 100 D Medals.
Acquire a Super Attack or Mastery in the Super Attack Skill Tree.
Acquire 50 Super Attacks or Masteries in the Super Attack Skill Tree.
Acquire 100 Super Attacks or Masteries in the Super Attack Skill Tree.
Get an instant victory on an enemy.
Get 50 instant victories on enemies.
Build a machine part.
Build a hovercar.
Build a Bipedal Robo Walker.
Unlock an entry in the Z Encyclopedia.
Unlock 200 entries in the Z Encyclopedia.
Unlock 400 entries in the Z Encyclopedia.
Complete a Turtle School training challenge and report to Master Roshi.
Complete 20 Turtle School training challenges and report to Master Roshi.
Complete 50 Turtle School training challenges and report to Master Roshi.
Use 10 Super Attack Assists.
Perform 10 Z Combos.
Win a battle with a Super Finish.
As DBZ Kakarot is an RPG, it includes mechanisms such as level gains. Here are some tips and tricks to get more experience, and thus gain more levels.