 If you liked
.hack//Sign
|
 ...then you might like
Summer Wars
|
Both .hack//Sign and Summer Wars are involving with online world (Actually, all .hack series are also involved with online world, too). There's also problem with online worlds in both series that the main characters of both series needed to take care of (some kind of virus involved).
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Recommended by tsubasalover
The two anime really have the same feel for them, except for the big family and all the drama. Summer Wars strongly reminded me of .hack especially with the idea of a virus trying to take over.
Still, .hack has more of a gamer's feel to it. It's easy to understand what's happening in Summer Wars, even if you're not that much into computers. I think .hack would require actual knowledge of the RPG world for you to actually enjoy it as much as you should.
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Recommended by Rebecca_Riddle