Just got this today I love it I can see the back of my phone, the back is a hard acrylic and sides are tpu.
Black - Google Nexus 4 Ringke Fusion The Best Selling Premium Hybrid Hard Case http://www.amazon.com/dp/B00B7QGT6U/ref=cm_sw_r_an_am_ap_am_us?ie=UTF8
It's still available for pre-order on Amazon.
From what I've gathered while lurking /r/nexus4, the Ringke hybrid case is a popular choice.
Ringke Fusion seems to be the best atm though still not perfect because the buttons feel weird apparently (from what reviews tell)
http://www.amazon.com/Black-Google-Selling-Premium-Package/dp/B00B7QGT6U
I bought the skinomi (but get it on amazon if you get it, cheaper) and I love it. Great feel, easy application, has the perfect cut outs.
I swear I'm not a shill!
I got the Ringke Fusion as a protector, however it's not going to protect you from a drop, only scuffs and scrapes. Fits perfectly and doesn't block any ports (other then the sim card but if you are opening that a lot....) Also, it has some thing where you can put pictures in between the case and the phone if you wanted.
It's available again ;) http://www.amazon.com/gp/product/B00B7QGT6U/ref=olp_product_details?ie=UTF8&me=&seller=