Here is the full list of all 58 Logiart Grimoire achievements.
Created all of Emil’s Logiart puzzles
Solved all of Emil’s Logiart puzzles
Solved all of Emil’s Logiart puzzles without assistance
Achieve all other achievements
Acquiring the Collection Figure 【City】.
Collecting all the collection figures.
Solve all the puzzles.
Solve all puzzles without assistance.
Solve all of Emil's favorite puzzles.
Acquiring the Collection Figure 【Era】.
Acquiring the Collection Figure 【Fantasy】.
Acquiring the Collection Figure 【Grassland】.
Acquiring the Collection Figure 【Mountain】.
Acquiring the Collection Figure 【Waterside】.
Acquiring the Collection Figure 【Food】.
Acquiring the Collection Figure 【Space】.
Acquiring the Collection Figure 【Equipment】.
Acquiring the Collection Figure 【Tool】.
Acquiring the Collection Figure 【Beginning】.
Solved 10 of Emil's Logiart puzzles.
Solved 10 of Emil's Logiart puzzles without assistance.
Solved 5 of Emil's Logiart puzzles.
Solved 5 of Emil's Logiart puzzles without assistance.
Solved Emil's Logiart puzzles for the first time.
Solved Emil's Logiart puzzle without assistance for the first time.
Fuse all the puzzles.
Raise Emil's level to MAX.
Solve 200 puzzles.
Solve 200 puzzles without assistance.
Unlocking the【Fantasy Page】.
Unlock all pages.
Fuse 100 puzzles.
Solve 100 puzzles.
Solve 100 puzzles without assistance.
Unlocking the【Food Page】.
Unlocking the【Space Page】.
Raise Emil's level to 5.
Fuse 50 puzzles.
Unlocking the【Era Page】.
Unlocking the【City Page】.
Created 10 Emil's Logiart puzzles.
Solve 50 puzzles.
Solve 50 puzzles without assistance.
Unlocking the【Waterside Page】.
Created 5 Emil's Logiart puzzles.
Unlocking the【Mountain Page】.
Unlocking the【Equipment Page】.
Fuse 10 puzzles.
Created Emil's Logiart puzzles for the first time.
Solve 10 puzzles.
Solve 10 puzzles without assistance.
Unlocking the【Grassland Page】.
Performing fusion for the first time.
Raise Emil's level to 2.
Solving a Logiart puzzle for the first time.
Solve a puzzle without assistance for the first time.
Unlocking the【Tool Page】.
Reaching the title screen for the first time.