Easy to use: take a look at fedora core, mandriva, ubuntu, suse, lindows
free: all of the above except lindows and suse
good looking GUI: when you look at feature list, two more popular GUIs are Gnome and KDE, personal preference of the two is KDE..
Compatiable: linux should be compatiable with most linux apps right?
fast: they should be fast, but define what you mean
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lisp hacker

running: FreeBSD 5.4 - still learning

develop with: SBCL + emacs for lisp, Anjuta IDE +gcc for c, SPE for python..
browse with: opera