It’s been a decade since I first started reading web comics on a regular basis. One of the few that has held my attention all these years has been Wapsi Square by Paul Taylor. It is consistently one of the best written, best art, best use of the medium series, and you should really check it out.
The only downside? If you really want to get into the full Wapsi Square experience, it would be best if you started at the beginning and work your way up to the present.