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