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