Here is the full list of all 104 Collectamon achievements.
Catch 100 Collectamon
Catch 250 Collectamon
Catch 500 Collectamon
Catch 1000 Collectamon
Catch 2500 Collectamon
Catch 5000 Collectamon
Catch 10000 Collectamon
Evolve your first Collectamon
Evolve 10 Collectamon
Evolve 25 Collectamon
Evolve 50 Collectamon
Evolve 100 Collectamon
Evolve 250 Collectamon
Evolve 500 Collectamon
Evolve 1000 Collectamon
Have 10 Log Entries
Have 20 Log Entries
Have 30 Log Entries
Obtain an Artichamp for the first time
Obtain a Froking for the first time
Obtain a Lyxos for the first time
Obtain a Mandibite for the first time
Obtain a Mr Bwizzter for the first time
Obtain a Reptiloth for the first time
Obtain a Pingon for the first time
Obtain a Gnawaran for the first time
Obtain a Globbulor for the first time
Obtain a Chordaton for the first time
Get a combo of 2x
Get a combo of 3x
Get a combo of 4x
Get a combo of 5x
Get a combo of 6x
Get a combo of 7x
Get a combo of 8x
Get a combo of 9x
Get a combo of 10x
Activate all pillars in The Grasslands
Activate all pillars in The Toxic Swamp
Crit for a total of 25 Times
Crit for a total of 100 Times
Crit for a total of 250 Times
Crit for a total of 500 Times
Crit for a total of 1000 Times
Catch your first Shimmering Collectamon
Catch 2 Shimmering Collectamon
Catch 3 Shimmering Collectamon
Catch 4 Shimmering Collectamon
Catch 5 Shimmering Collectamon
Catch your first Shiny Collectamon
Catch 5 Shiny Collectamon
Catch 10 Shiny Collectamon
Catch 20 Shiny Collectamon
Unlock The Sanctuary
Unlock The Toxic Swamp
Upgrade 10 Times
Upgrade 20 Times
Upgrade 30 Times
Upgrade 40 Times
Upgrade 50 Times
Upgrade 60 Times
Upgrade 70 Times
Upgrade 80 Times
Upgrade 90 Times
Upgrade 100 Times
Catch a Collectamon from a long distance
Build a Stone of Mastery
Capture enough Dibbits to reach Dibbit mastery level 5.
Catch 20000 Collectamon
Capture enough Mandits to reach Mandit mastery level 5.
Capture enough Choks to reach Chok mastery level 5.
Capture enough Achos to reach Acho mastery level 5.
Capture enough Fronks to reach Fronk mastery level 5.
Capture enough Boinks to reach Boink mastery level 5.
Capture enough Bwizz to reach Bwizz mastery level 5.
Capture enough Bwizzters to reach Bwizzter mastery level 5.
Capture enough Lompinx to reach Lompinx mastery level 5.
Capture enough Lomphax to reach Lomphax mastery level 5.
Capture enough Poks to reach Pok mastery level 5.
Capture enough Pengs to reach Peng mastery level 5.
Capture enough Bitos to reach Bito mastery level 5.
Capture enough Chompecks to reach Chompeck mastery level 5.
Capture enough Gloops to reach Gloop mastery level 5.
Capture enough Globbers to reach Globber mastery level 5.
Capture enough Slotherfins to reach Slotherfin mastery level 5.
Capture enough Slocros to reach Slocro mastery level 5.
Capture enough Testus to reach Testu mastery level 5.
Capture enough Tortos to reach Tortos mastery level 5.
Upgrade Net Strength to level 30
Upgrade Net Size to level 30
Upgrade Net Charge Rate to level 30
Upgrade Net Charges to level 10