Dale Chihuly is one of my favorite glass artist. You see his work a lot here in the Northwest. He even had a piece on the Frasier TV show. But not all of us can do blown glass. I really like what Lilli Lackey came up with for her art students. The lesson is well thought out and can be done easily at home. There are not very many instructions, but if you read through the material I believe you will be able to make your own Chihuly inspired work. (I am sorry the Lilli Lackey link no longer works, please check comments for a couple of different ideas~Marla)
I came across this idea at the Washington Post for using plastic bottles to get a Chihuly type design. (10/2/2014)
This idea came from a comment by jmik.(you can read her comment below) Great idea. Here are a few examples that might work. One is made with clear contact paper, but you could use laminated sheets too. It is from Sturdy for Common Things.
And if you wanted to play around with the tissue paper here is a fun idea from Kids Play Box.