I really like the thinner, streamlined font choice in Entry #7 and Entry #8. Combined with the gradient, it really sings.
The spider symbol is fantastic, as well, though it is highly reminiscent of the spiderman logo (perhaps too highly?). I like it a lot, but I'll have to sleep on that.
Nailed it with #13/#14, I think! It's a happy medium between the slick speed of #7/#8 and the dense feel of #11/#12 (I do like the symbol in #11/#12, but I think it may be just a tad too "heavy" for the "quick" feeling text). Pretty sure my preference is for #13/#14, but I'll sleep on it.