Zoe Kravitz covers ASOS magazine’s July 2011 issue. Inside, she talks the “it girl” label that follows her everywhere, struggling to be best friends with Jay-Z, her parents’ style and discipline, and her latest films! She may be New York rock royalty, but the actress is flea market-loving geek at heart.

On being labeled an “it-girl”:
“All that ‘it-girl’ sh*t makes me kind of uncomfortable. I’m only at the beginning of my career, but I feel successful in that I haven’t sold out in any way, shape or form. I feel good about the choices I’ve made, and I don’t feel like I’ve let go of any of my values. Fame has become this obsession for people, which kind of creeps me out.”

On Jay-Z:
“I’d met Jay a few times, and then he asked me to be in his video for ‘I Know.’ After that we became really good friends and now he’s one of my favorite people. It sounds so weird when you say it because he’s f***ing Jay-Z! But what’s so weird is that he’s such a cool guy that sometimes I wish he wasn’t Jay-Z so we could hang out all day long and walk around and talk sh*t because I love him.”

On being inspired by her mom, Lisa Bonet:
“She walked away from being famous, because she didn’t really care about it. She is the most true artist I have met. She doesn’t change for anybody. I see her in front of people, in interviews, at home alone at five in the morning making collages, or in her garden, and I admire her so much. And that fact that she’s my mom is just so cool!”

On her parent’s style:
“I used to be a little embarrassed by how she and my dad would dress, but now I steal their clothes all the time. My dad had totally taken my Cat Stevens t-shirt, but it’s OK, I have his Black Flag one and that’s amazing. And my mom…There’s a little vintage store where she lives…She [donated] a bunch of [her] stuff while I was away and I went there when I got back and bought five of her things. Out of everything in the store, I’d bought my mother’s things.”

On her parents’ discipline:
“My dad was brought up very old school, very strict – ‘Yes, ma’am, yes sir.’ So he’s wearing leather pants and a boa, but he would be like, ‘Did you do your chores today?’ Or, ‘That dress is too short!’ [Or,] ‘Yes, there’s a party going on with Mick Jagger and some models, but it’s your bedtime.’”

On her breakthrough role in the Berlin Film Festival favorite “Yelling to The Sky”:
“That was a really crazy, amazing experience. It was my first leading role, so it was a real challenge for me as an actor. It was very low budget, we shot it in 18 days, and it was not luxurious, but it was art. The heart and soul that went into making that film was wonderful and I’m proud to be a part of it.”

On filming “X-Men: First Class”:
“I feel like sometimes if you do a film with ‘movie stars’ there’s all this drama and superiority, but X-Men was not like that at all. We were living in London for four months and it was like X-Men summer camp, so we all hung out at each other’s houses after filming, went out to pubs… lived in Notting Hill, right by Portobello. I had about a month off when I first arrived in London, and I was like, “Can you send me to work please, because I’m spending all my money flea-market shopping!”

On her band Elevator Fight:
“Having a band is great, because with acting there are long periods of time out when you’re not doing anything, and I don’t like just sitting around, I go crazy. We found this house in the suburbs of Pennsylvania and did [the album] in eight days. Drank a lot of whisky and ate a lot of pizza and stayed up ’til 7am every day. We smelt so bad by the end, but I’m very happy with it. I don’t know what’s going to happen next, we don’t have a record deal, but we’re playing it by ear.”