The top looks like Adobe Garamond.

Second one is Wendy Bold.

I don't know, I think the top one is a Jenson (maybe Adobe's?)

Nice catch, Eduardo.

The third sample, with its two very different u's, may have been handwritten. Where did the sample come from?

Other swirly typefaces can be found here.

Here's a freebie option for the Scripty font.

And I collected a bunch of scripty fonts here. I hope more people will add on to it.

I think I agree with Chesh that the swirly script is handwritten, but for another place to see a lot of swirly designs, look in Part 5 (Designed Scripts), Part 7 (Casual Flowing Scripts) and Part 8 (Casual Non-flowing scripts) of the Script Font ID Guide. I counted about a dozen curly fonts in the first 8 pages of Part 5, including Scriptease, Gigi, Dollhouse, Clover, Giddyup, Yellow, Riva, Marguerita and Curlz. (Be warned, if you look through them all it will be nearly 50 web pages.)

Thanks for helping me out! I looked at your link suggestions, and found a lot of fonts I have never seen before. And thanks to Mike, I won't be bored for the next hours!

Also, I think you may be right that the "about us" pic above is handwritten, as it is from an illustrators site.