Nothing much to do without WiFi connection and gets boring after a while of playing this game.
It's nothing to miss out on except for special holidays, where you get bonus items. Every single day when you're playing AC:WW, there's nothing much to do except for talking to your animal friends (to either do some simple/boring tasks or just killing a couple of seconds talking and discussing boring things), fishing for fish, catching bugs, harvesting fruit to get money for paying entirely for your house, and some more boring things to do. It's nothing good in Animal Crossing for both hard-core and impatient gamers, who felt despirate to play a cool action game instead of holding back all that fun just for one, simple-boring game like this game.
If you like relaxing and less-stressful games with Wi-Fi connection to talk with your friends, this game is the right game for you. But if you want some more activity than what Animal Crossing delivers, I suggest playing Harvest Moon to keep you busy.