I'd say the best icebreaker is one that you personalize to her, rather than a generic "I use this line on everyone."
Like if she likes a band that you like, you could strike up a conversation about it. Something like "I see you're a fan of *band name* too. Have you had a chance to see them in concert yet, they put in a great show." Then you could follow up on that with asking about her favorite songs and what other bands she likes.
You can do the same with pretty much any hobby/interest, just something to get the conversation going.
For one woman I dated, I asked her about her love for travel (it was in her profile) and not only did I learn that she was actually on a trip that week, but I also learned that she tried to make it a goal to travel somewhere once every summer. And I used that to talk and places we'd like to go and different foods we've tried.
And with my now girlfriend, I used the fact that we had taken a picture at the same place as my ice breaker. I springboarded that into asking her about what other places she's been out would like to go to, and just expand from there
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