Here is the full list of all 24 Chip's Challenge 1 achievements.
Completed Rink
Completed all the levels between 41 & 60
Completed The Last Laugh
Completed 20 levels on first try
Completed all the levels between 21 & 40
Completed On The Rocks
Completed Blobnet
Completed all the levels between 1 & 20
Completed all the levels between 1 & 5
Completed a level with only 0.5 seconds to go
Completed all the levels between 61 & 80
Completed all the levels between 81 & 100
Completed all the levels between 101 & 120
Completed all the levels between 121 & 140
Completed all the levels between 141 & 149
Completed 20 levels still wearing boots
Completed 20 levels still carrying keys
Completed all the levels
Completed Cityblock
Completed Jumping Swarm
Completed Totally Unfair
Completed Blobdance
Completed Icedeath
Completed Force Field