Runescape is a good online game. It's an MMORPG, or massively multiplayer online roleplaying game, for the non-geek among us. Basically, you become a character in a vaguely medieval universe and work to train skills, gather items, and perform quests. There's a good free version and a paid version for $5 a month. Although there's violence, it's very animated and not at all graphic. I'd recommend playing it a little to see if it meets with your approval. It teaches great skills, since you interact with thousands of other people from across the globe in-game. There's an economy to take part in, skills to build, quests to do, and so on. www.runescape.com
Squirrelworks is a good non-adult comic site. I'm particularly fond of Fairview High, but I may be a little biased--I know the creator and am the voice to one of the characters in the animated version he's working on. FVH does involve some magical references--vampires, werewolves, witches--so if those aren't things that work for your family, I'd give it a miss.