Translucent Chao
Make a slightly see-through chao by mating ANY Jewel Chao with ANY Shiny Chao, hatch the egg and you should be looking for a slightly see through chao. You'll know it when you see it. It's pretty cool.
Transparent Chao
It's been a while for me, but if you want to see nothing but eyes, wings, and emote-ball, you're looking to make a transparent chao.
Make one by breeding either a...
Shiny White + Any Jewel Chao,
Shiny Yellow + Any Jewel Chao,
Shiny Pink
+ Any Jewel Chao,
Shiny Lime Green + Sapphire Chao
...I didn't test the following, it's probably true, but I'll get better details later.