The easy answer is "********, NO". The difficult answer is "There are many online comics with a storyline, only they suck like a blackhole. With the exception of the comics you've mentioned... err, Haiku 575 only. I haven't read Fantasy Realms and I don't like Saturnalia. Achewood's got story arcs, mind. As those Goats. And does Order of the Stick have a plot?"
Oh, and I forgot to mention Copper
http://www.boltcity.com/copper/ It's gorgeous. It has very little dialogue. And absolutely no pretentions. By Kazu Kibuishi, who is a genius.