It doesn't necessairly mean "the best", just the ones that touched the right strings with me, or that I have the fondest memories of.
Lain isn't really Drama, I just like it a lot :X
Numbers are order I would watch them in.
Note: Full Moon wo Sagashite is the missing #10 on the list; for some reason, I haven't been able to put it on here.
This is a list of series only, not including OVA's or movies
Sorted by my own personal enjoyment. :)
Series under 14-16 episodes.. for an anime-fix when there isn't the time // focus for lengthy shows!