Here is the full list of all 30 Globesweeper: Hex Puzzler achievements.
Beat a Line level
Get 3 stars on Orange Peel
Complete a level after making 5 mistakes
Fail a level
Beat a Cluster level
Get 3 stars on Swiss Cheese
Get 3 stars on Around the World
Get all 3 stars on 20 Cluster levels
Get all 3 stars on 20 Line levels
Beat an Area level
Get all 3 stars on 20 Area levels
Beat a Min Chain level
Get all 3 stars on 15 Min Chain levels
Beat a Max Chain level
Get all 3 stars on 15 Max Chain levels
Beat a Group level
Get all 3 stars on 10 Group levels
Beat a Not level
Get all 3 stars on 5 Not levels
Get 3 stars on Snowflake
Complete all levels
Get 3 stars on all levels
Get 3 stars on Icosahedron and Dodecahedron
Get 3 stars on Bitesize
Get 3 stars on Triangle Weave
Get 3 stars on half of the levels
Get 3 stars on The Ring
Get 3 stars on Cactus Ball
Get 3 stars on Stripes
Get 3 stars on Starlink