Originally designed for face-to-face play, It turns out that Nomic is fairly well-suited to the internet, and it's popped all over the place in various Internet communities. Almost certainly, the longest-running game of nomic ever played is Agora, which recently celebrated its 20th anniversary with a reunion and everything. Agora has seen over 7000 proposals (usually, but not always, suggested changes to the rules) and 3000 calls for judgment. It has its own honours system and awards degrees for well-written essays relating to Agora or to Nomic generally.
Like any community, every Nomic develops its own individual characteristics and culture, and a defining feature of Agora is that it is much more like a (very whimsical) society than a game. This was recently put to the stress point when a player claimed to use a logic bug to kick every other player out and take dictatorial control. The original game of Nomic made discovering a paradox in the rules one of the two victory conditions, and Agora follows tradition by being generally welcoming of silly logic (although this was seen as a bit heavyhanded), including an instance "where a ruble was transferred back and forth infinitely many times and ended up in the Lost & Found Department, even though nobody had tried to transfer it there" (I swear that judgment made sense to me at the time).
The events following have been interesting, but the entire thing was just blown out of the water by the judgment delivered to (hopefully) resolve things. In an rather forceful attempt to unwind the rather murky logical underpinnings of Agora, judge Alex Smith (of Wolfram's 2-state 3-symbol Turing Machine fame) delivered one of the most comprehensive judgments in the history of Agora: more than 6500 words picking apart the logical foundations of the rules and, I'm sure, creating a precedent that will be much used in future incidents of a similar nature.
At the same time, the individual responsible is under criminal prosecution for violating the last sentence of Rule 101"Please treat Agora right good forever.", originally a joke thrown in as a reference to Discordian pope cards.
I'm continually amazed by the amount of effort that people (myself included) will put into this game, and also by the fact that all this effort can coexist with the utterly inane. Agora has a truly remarkable to take itself both entirely seriously and not seriously at all, and usually both at the same time.
By the way, Nomic is fun, although Agora is not for the faint of heart. For lighter fare, try BlogNomic.
(for those of you who think that the Agora website is kind of crappy, you're right. there's once again talk of updating it properly, but volunteers are generally lazy)