Tile World - by Brian Raiter. This is a program that you can play different graphics, level sets, and rule sets.
Tile World for Mac - by Thomas Harte. A Tile World that is compatible on Macs.
Pocket Chip's Challenge - Chip's Challenge for the pocket PC by Iceboxman Technologies.
ML Maze - by Mike L., basically the same as CC, except some tiles were added and some were removed.
Block Dude - a little bit like CC but there are basically only blocks. By Mike L.
Maze Runner - by Catatonic Purpoise. A maze game like CC.
Challengo - by Xanthom. Contains elements from CC1, CC2, and totally original ones
Escape - by Tom Murphy VII. This is like CC in many ways, but has a lot more blocks! The are hundreds of levels to play, including ones made by John Lewis, pieguy, and Joshua Bone.
Remazed - by the Modernizer.
JavaScript Chip's Challenge - by Norman DeForest. A less advanced Tile World you can play online.
Play Original CC Online! - The Lynx Version of Chip's Challenge on GameTap (but I costs money).