Not the cricut! I have memory box dies for the intricate designs and I use a cuttlebug for them. Sometimes the dies don't cut too well but I am persistent running them through a few times and then they work. The pain comes with some of the spellbinder dies because you have to sometimes pick them out-the intricate ones! It is soooo time consuming. The memory box ones are much better!
The paper I use is from bazzil-the smooth cardstock.The textured one rips sometimes when you are cutting on the cricut! Check the memory box site. They have some nice ideas.